What are Polynomial Operations?

Operations on polynomials mean performing mathematical calculations such as addition, subtraction, and multiplication on algebraic expressions called polynomials.

A polynomial is an algebraic expression made up of variables, constants, and exponents.

Examples of polynomials:

• 3x² + 4x − 2
• 5y² − 7y + 1
• 2t³ + 6t − 9

Polynomial operations are very important in algebra and are frequently asked in school exams, competitive exams, and board examinations.

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Types of Operations on Polynomials

The main operations on polynomials are:

1. Addition of Polynomials
2. Subtraction of Polynomials
3. Multiplication of Polynomials

Let us understand each operation one by one.

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Addition of Polynomials

In polynomial addition, we add like terms together.

Like terms are terms having the same variables and same powers.

Example

Add:

(3x² + 4x − 2) + (5x² − 2x + 7)

Solution

Combine like terms:

• 3x² + 5x² = 8x²
• 4x − 2x = 2x
• −2 + 7 = 5

Final Answer

= 8x² + 2x + 5

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Subtraction of Polynomials

In subtraction, first change the signs of the second polynomial and then combine like terms.

Example

Subtract:

(7y² + 3y − 5) − (2y² − 4y + 1)

Solution

Remove brackets carefully:

= 7y² + 3y − 5 − 2y² + 4y − 1

Combine like terms:

• 7y² − 2y² = 5y²
• 3y + 4y = 7y
• −5 − 1 = −6

Final Answer

= 5y² + 7y − 6

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Multiplication of Polynomials

In multiplication, every term of the first polynomial is multiplied by every term of the second polynomial.

Example

Multiply:

(2x + 3)(x − 4)

Solution

Multiply each term:

• 2x × x = 2x²
• 2x × (−4) = −8x
• 3 × x = 3x
• 3 × (−4) = −12

Combine like terms:

= 2x² − 8x + 3x − 12

= 2x² − 5x − 12

Final Answer

= 2x² − 5x − 12

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Important Rules for Polynomial Operations

Rules for Addition

• Add only like terms.
• Keep variables and powers unchanged.
• Add coefficients carefully.

Rules for Subtraction

• Change the signs of all terms inside the second bracket.
• Then combine like terms.

Rules for Multiplication

• Multiply coefficients separately.
• Add powers of same variables.
• Use distributive property properly.

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Common Mistakes Students Make

Forgetting Sign Change

Students often forget to change signs during subtraction.

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Adding Unlike Terms

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Solved Example of Polynomial Operations

Example Question

If p(x)=3x²+4x−2 and g(x)=−2x+5 then find:

1. p(x)+g(x)
2. p(x)−g(x)
3. 4g(x)
4. 2p(x)
5. p(x) × g(x)

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Solution

1. p(x)+g(x)

= (3x²+4x−2) + (−2x+5)

= 3x² + 4x − 2 − 2x + 5

= 3x² + 2x + 3

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2. p(x)−g(x)

= (3x²+4x−2) − (−2x+5)

= 3x² + 4x − 2 + 2x − 5

= 3x² + 6x − 7

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3. 4g(x)

= 4(−2x+5)

= −8x + 20

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4. 2p(x)

= 2(3x²+4x−2)

= 6x² + 8x − 4

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5. p(x) × g(x)

= (3x²+4x−2)(−2x+5)

Multiply term by term:

= 3x²(−2x) + 3x²(5) + 4x(−2x) + 4x(5) − 2(−2x) − 2(5)

= −6x³ + 15x² − 8x² + 20x + 4x − 10

Combine like terms:

= −6x³ + 7x² + 24x − 10

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Why Practice Polynomial Operations?

Practicing polynomial operations helps students:

• Improve algebra skills
• Prepare for board exams
• Solve higher mathematics problems
• Build strong fundamentals for calculus and advanced algebra

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Tips to Solve Polynomial Questions Faster

• Arrange terms in descending order of powers.
• Use brackets carefully.
• Double-check signs during subtraction.
• Practice multiplication step-by-step.
• Combine like terms only after simplifying properly.

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Practice Questions on Operations on Polynomials

Solve the following polynomial operation questions carefully. These questions include addition, subtraction, scalar multiplication, and multiplication of polynomials.

Instructions

Solve all the following polynomial operation questions.

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Question 1

If p(x)=3x²+4x−2, g(x)=−2x+5 then find:

1. p(x)+g(x)
2. p(x)−g(x)
3. 4g(x)
4. 2p(x)
5. p(x) × g(x)

Question 2

If f(y)=5y²−3y+1, h(y)=4y−7 then find:

1. f(y)+2h(y)
2. 3f(y)−h(y)
3. 5h(y)
4. f(y) × h(y)
5. h(y)−f(y)

Question 3

If a(t)=2t²+6t−9, b(t)=3t−8 then find:

1. a(t)+b(t)
2. 2a(t)−3b(t)
3. 6b(t)
4. a(t) × b(t)
5. 4a(t)

Question 4

If m(x)=7x²−5x+4, n(x)=−6x+3 then find:

1. m(x)−n(x)
2. 3m(x)+n(x)
3. 2n(x)
4. m(x) × n(x)
5. 5m(x)

Question 5

If u(y)=9y²+2y−1, v(y)=5y−6 then find:

1. u(y)+v(y)
2. u(y)−2v(y)
3. 7v(y)
4. 3u(y)
5. u(y) × v(y)

Question 6

If r(t)=4t²−8t+7, s(t)=−3t+9 then find:

1. r(t)+s(t)
2. 2r(t)−s(t)
3. 8s(t)
4. r(t) × s(t)
5. 5r(t)

Question 7

If c(x)=6x²+x−5, d(x)=2x+4 then find:

1. c(x)−d(x)
2. 4c(x)+d(x)
3. 3d(x)
4. c(x) × d(x)
5. 2c(x)

Question 8

If e(y)=8y²−7y+2, f(y)=−5y+1 then find:

1. e(y)+f(y)
2. 3e(y)−2f(y)
3. 6f(y)
4. e(y) × f(y)
5. 4e(y)

Question 9

If g(t)=3t²+9t−4, h(t)=7t−2 then find:

1. g(t)−h(t)
2. 5g(t)+h(t)
3. 2h(t)
4. g(t) × h(t)
5. 3g(t)

Question 10

If j(x)=5x²−6x+8, k(x)=−4x+10 then find:

1. j(x)+k(x)
2. 2j(x)−k(x)
3. 9k(x)
4. j(x) × k(x)
5. 6j(x)

Question 11

If l(y)=2y²+11y−3, m(y)=5y−12 then find:

1. l(y)+m(y)
2. 2l(y)−m(y)
3. 4m(y)
4. l(y) × m(y)
5. 3l(y)

Question 12

If n(t)=6t²−4t+5, o(t)=−7t+6 then find:

1. n(t)−o(t)
2. 5n(t)+o(t)
3. 3o(t)
4. n(t) × o(t)
5. 2n(t)

Question 13

If p(x)=4x²+8x−10, q(x)=3x+7 then find:

1. p(x)+q(x)
2. p(x)−2q(x)
3. 6q(x)
4. 4p(x)
5. p(x) × q(x)

Question 14

If r(y)=9y²−2y+6, s(y)=−5y+4 then find:

1. r(y)−s(y)
2. 3r(y)+2s(y)
3. 5s(y)
4. r(y) × s(y)
5. 2r(y)

Question 15

If t(t)=7t²+5t−9, v(t)=6t−3 then find:

1. t(t)+v(t)
2. 2t(t)−v(t)
3. 7v(t)
4. t(t) × v(t)
5. 3t(t)

Question 16

If w(x)=3x²−9x+2, x(x)=−8x+1 then find:

1. w(x)−x(x)
2. 4w(x)+x(x)
3. 2x(x)
4. w(x) × x(x)
5. 5w(x)

Question 17

If y(y)=5y²+4y−7, z(y)=2y+9 then find:

1. y(y)+z(y)
2. 3y(y)−z(y)
3. 6z(y)
4. y(y) × z(y)
5. 2y(y)

Question 18

If a(t)=8t²−6t+3, b(t)=−4t+8 then find:

1. a(t)−b(t)
2. 2a(t)+3b(t)
3. 5b(t)
4. a(t) × b(t)
5. 4a(t)

Question 19

If c(x)=2x²+7x−5, e(x)=9x−1 then find:

1. c(x)+e(x)
2. 5c(x)−e(x)
3. 8e(x)
4. c(x) × e(x)
5. 2c(x)

Question 20

If f(y)=6y²−8y+4, g(y)=−3y+11 then find:

1. f(y)−g(y)
2. 2f(y)+g(y)
3. 4g(y)
4. f(y) × g(y)
5. 6f(y)

Question 21

If h(t)=5t²+2t−6, i(t)=7t−5 then find:

1. h(t)+i(t)
2. 3h(t)−2i(t)
3. 5i(t)
4. h(t) × i(t)
5. 4h(t)

Question 22

If j(x)=9x²−3x+8, k(x)=−6x+2 then find:

1. j(x)−k(x)
2. 2j(x)+k(x)
3. 7k(x)
4. j(x) × k(x)
5. 5j(x)

Question 23

If l(y)=4y²+5y−1, m(y)=3y−9 then find:

1. l(y)+m(y)
2. 4l(y)−m(y)
3. 2m(y)
4. l(y) × m(y)
5. 6l(y)

Question 24

If n(t)=7t²−2t+6, o(t)=−5t+7 then find:

1. n(t)−o(t)
2. 5n(t)+2o(t)
3. 3o(t)
4. n(t) × o(t)
5. 2n(t)

Question 25

If p(x)=2x²+8x−4, q(x)=6x+3 then find:

1. p(x)+q(x)
2. 3p(x)−q(x)
3. 9q(x)
4. p(x) × q(x)
5. 4p(x)

Question 26

If r(y)=5y²−7y+9, s(y)=−2y+4 then find:

1. r(y)−s(y)
2. 2r(y)+s(y)
3. 6s(y)
4. r(y) × s(y)
5. 5r(y)

Question 27

If t(t)=8t²+t−5, u(t)=7t−8 then find:

1. t(t)+u(t)
2. 4t(t)−u(t)
3. 2u(t)
4. t(t) × u(t)
5. 3t(t)

Question 28

If v(x)=3x²−6x+2, w(x)=−9x+5 then find:

1. v(x)−w(x)
2. 5v(x)+w(x)
3. 7w(x)
4. v(x) × w(x)
5. 2v(x)

Question 29

If x(y)=6y²+4y−3, y(y)=5y−10 then find:

1. x(y)+y(y)
2. 2x(y)−3y(y)
3. 4y(y)
4. x(y) × y(y)
5. 6x(y)

Question 30

If z(t)=9t²−5t+7, a(t)=−4t+6 then find:

1. z(t)−a(t)
2. 3z(t)+a(t)
3. 5a(t)
4. z(t) × a(t)
5. 2z(t)

Question 31

If b(x)=4x²+3x−2, c(x)=8x−1 then find:

1. b(x)+c(x)
2. 2b(x)−c(x)
3. 5c(x)
4. b(x) × c(x)
5. 4b(x)

Question 32

If d(y)=7y²−9y+5, e(y)=−3y+12 then find:

1. d(y)−e(y)
2. 3d(y)+e(y)
3. 2e(y)
4. d(y) × e(y)
5. 6d(y)

Question 33

If f(t)=2t²+6t−7, g(t)=4t+9 then find:

1. f(t)+g(t)
2. 5f(t)−g(t)
3. 7g(t)
4. f(t) × g(t)
5. 2f(t)

Question 34

If h(x)=5x²−8x+1, i(x)=−7x+2 then find:

1. h(x)−i(x)
2. 2h(x)+3i(x)
3. 4i(x)
4. h(x) × i(x)
5. 3h(x)

Question 35

If j(y)=8y²+5y−4, k(y)=6y−11 then find:

1. j(y)+k(y)
2. 4j(y)−k(y)
3. 5k(y)
4. j(y) × k(y)
5. 2j(y)

Question 36

If l(t)=3t²−2t+9, m(t)=−5t+7 then find:

1. l(t)−m(t)
2. 3l(t)+m(t)
3. 8m(t)
4. l(t) × m(t)
5. 4l(t)

Question 37

If n(x)=6x²+7x−3, o(x)=2x+5 then find:

1. n(x)+o(x)
2. 2n(x)−o(x)
3. 6o(x)
4. n(x) × o(x)
5. 5n(x)

Question 38

If p(y)=9y²−4y+6, q(y)=−8y+3 then find:

1. p(y)−q(y)
2. 5p(y)+q(y)
3. 3q(y)
4. p(y) × q(y)
5. 2p(y)

Question 39

If r(t)=5t²+t−8, s(t)=7t−6 then find:

1. r(t)+s(t)
2. 4r(t)−2s(t)
3. 9s(t)
4. r(t) × s(t)
5. 3r(t)

Question 40

If t(x)=4x²−5x+2, u(x)=−6x+9 then find:

1. t(x)−u(x)
2. 2t(x)+u(x)
3. 5u(x)
4. t(x) × u(x)
5. 7t(x)

Question 41

If v(y)=7y²+3y−1, w(y)=5y−4 then find:

1. v(y)+w(y)
2. 3v(y)−w(y)
3. 6w(y)
4. v(y) × w(y)
5. 2v(y)

Question 42

If x(t)=2t²−8t+7, y(t)=−3t+10 then find:

1. x(t)−y(t)
2. 5x(t)+2y(t)
3. 4y(t)
4. x(t) × y(t)
5. 3x(t)

Question 43

If z(x)=6x²+5x−9, a(x)=4x−2 then find:

1. z(x)+a(x)
2. 2z(x)−a(x)
3. 7a(x)
4. z(x) × a(x)
5. 6z(x)

Question 44

If b(y)=9y²−7y+3, d(y)=−5y+6 then find:

1. b(y)−d(y)
2. 3b(y)+d(y)
3. 5d(y)
4. b(y) × d(y)
5. 2b(y)

Question 45

If e(t)=3t²+2t−8, f(t)=8t−7 then find:

1. e(t)+f(t)
2. 4e(t)−f(t)
3. 2f(t)
4. e(t) × f(t)
5. 5e(t)

Question 46

If g(x)=5x²−9x+4, h(x)=−6x+1 then find:

1. g(x)−h(x)
2. 2g(x)+3h(x)
3. 9h(x)
4. g(x) × h(x)
5. 4g(x)

Question 47

If i(y)=8y²+6y−5, j(y)=3y+8 then find:

1. i(y)+j(y)
2. 5i(y)−j(y)
3. 6j(y)
4. i(y) × j(y)
5. 2i(y)

Question 48

If k(t)=4t²−3t+2, l(t)=−7t+9 then find:

1. k(t)−l(t)
2. 3k(t)+l(t)
3. 4l(t)
4. k(t) × l(t)
5. 7k(t)

Question 49

If m(x)=7x²+8x−6, n(x)=5x−3 then find:

1. m(x)+n(x)
2. 2m(x)−n(x)
3. 8n(x)
4. m(x) × n(x)
5. 3m(x)

Question 50

If o(y)=2y²−5y+7, p(y)=−4y+11 then find:

1. o(y)−p(y)
2. 4o(y)+p(y)
3. 5p(y)
4. o(y) × p(y)
5. 6o(y)

Question 51

If q(t)=6t²+4t−1, r(t)=9t−2 then find:

1. q(t)+r(t)
2. 3q(t)−2r(t)
3. 7r(t)
4. q(t) × r(t)
5. 2q(t)

Question 52

If s(x)=3x²−7x+5, t(x)=−5x+4 then find:

1. s(x)−t(x)
2. 5s(x)+t(x)
3. 6t(x)
4. s(x) × t(x)
5. 4s(x)

Question 53

If u(y)=8y²+2y−9, v(y)=6y−7 then find:

1. u(y)+v(y)
2. 2u(y)−v(y)
3. 5v(y)
4. u(y) × v(y)
5. 3u(y)

Question 54

If w(t)=5t²−4t+3, x(t)=−8t+2 then find:

1. w(t)−x(t)
2. 4w(t)+x(t)
3. 9x(t)
4. w(t) × x(t)
5. 2w(t)

Question 55

If y(x)=7x²+9x−5, z(x)=4x+6 then find:

1. y(x)+z(x)
2. 3y(x)−z(x)
3. 2z(x)
4. y(x) × z(x)
5. 5y(x)

Question 56

If a(y)=2y²−6y+8, b(y)=−7y+5 then find:

1. a(y)−b(y)
2. 2a(y)+b(y)
3. 6b(y)
4. a(y) × b(y)
5. 4a(y)

Question 57

If c(t)=9t²+3t−4, d(t)=5t−10 then find:

1. c(t)+d(t)
2. 5c(t)−2d(t)
3. 7d(t)
4. c(t) × d(t)
5. 2c(t)

Question 58

If e(x)=4x²−8x+1, f(x)=−2x+7 then find:

1. e(x)−f(x)
2. 3e(x)+f(x)
3. 5f(x)
4. e(x) × f(x)
5. 6e(x)

Question 59

If g(y)=6y²+5y−2, h(y)=8y−9 then find:

1. g(y)+h(y)
2. 2g(y)−h(y)
3. 4h(y)
4. g(y) × h(y)
5. 3g(y)

Question 60

If i(t)=3t²−9t+6, j(t)=−4t+3 then find:

1. i(t)−j(t)
2. 5i(t)+j(t)
3. 8j(t)
4. i(t) × j(t)
5. 2i(t)

Question 61

If k(x)=8x²+7x−1, l(x)=6x−5 then find:

1. k(x)+l(x)
2. 2k(x)−l(x)
3. 4l(x)
4. k(x) × l(x)
5. 5k(x)

Question 62

If m(y)=5y²−2y+4, n(y)=−9y+8 then find:

1. m(y)−n(y)
2. 3m(y)+n(y)
3. 7n(y)
4. m(y) × n(y)
5. 2m(y)

Question 63

If o(t)=7t²+6t−3, p(t)=4t+2 then find:

1. o(t)+p(t)
2. 5o(t)−p(t)
3. 6p(t)
4. o(t) × p(t)
5. 3o(t)

Question 64

If q(x)=2x²−5x+9, r(x)=−6x+1 then find:

1. q(x)−r(x)
2. 4q(x)+r(x)
3. 2r(x)
4. q(x) × r(x)
5. 7q(x)

Question 65

If s(y)=9y²+8y−7, t(y)=3y−4 then find:

1. s(y)+t(y)
2. 2s(y)−t(y)
3. 8t(y)
4. s(y) × t(y)
5. 4s(y)

Question 66

If u(t)=4t²−7t+5, v(t)=−5t+6 then find:

1. u(t)−v(t)
2. 3u(t)+2v(t)
3. 5v(t)
4. u(t) × v(t)
5. 6u(t)

Question 67

If w(x)=6x²+2x−8, x(x)=7x−3 then find:

1. w(x)+x(x)
2. 5w(x)−x(x)
3. 3x(x)
4. w(x) × x(x)
5. 2w(x)

Question 68

If y(y)=3y²−4y+1, z(y)=−8y+9 then find:

1. y(y)−z(y)
2. 2y(y)+z(y)
3. 6z(y)
4. y(y) × z(y)
5. 4y(y)

Question 69

If a(t)=5t²+9t−6, b(t)=2t+7 then find:

1. a(t)+b(t)
2. 3a(t)−b(t)
3. 9b(t)
4. a(t) × b(t)
5. 2a(t)

Question 70

If c(x)=8x²−3x+4, d(x)=−7x+2 then find:

1. c(x)−d(x)
2. 4c(x)+d(x)
3. 5d(x)
4. c(x) × d(x)
5. 3c(x)

Question 71

If e(y)=2y²+5y−1, f(y)=6y−8 then find:

1. e(y)+f(y)
2. 2e(y)−f(y)
3. 7f(y)
4. e(y) × f(y)
5. 5e(y)

Question 72

If g(t)=7t²−6t+3, h(t)=−4t+10 then find:

1. g(t)−h(t)
2. 5g(t)+2h(t)
3. 4h(t)
4. g(t) × h(t)
5. 2g(t)

Question 73

If i(x)=4x²+8x−9, j(x)=5x−2 then find:

1. i(x)+j(x)
2. 3i(x)−j(x)
3. 6j(x)
4. i(x) × j(x)
5. 4i(x)

Question 74

If k(y)=6y²−5y+7, l(y)=−3y+6 then find:

1. k(y)−l(y)
2. 2k(y)+l(y)
3. 8l(y)
4. k(y) × l(y)
5. 3k(y)

Question 75

If m(t)=9t²+4t−2, n(t)=8t−5 then find:

1. m(t)+n(t)
2. 5m(t)−n(t)
3. 2n(t)
4. m(t) × n(t)
5. 6m(t)

Question 76

If o(x)=3x²−7x+8, p(x)=−6x+4 then find:

1. o(x)−p(x)
2. 4o(x)+p(x)
3. 5p(x)
4. o(x) × p(x)
5. 2o(x)

Question 77

If q(y)=5y²+6y−3, r(y)=7y+1 then find:

1. q(y)+r(y)
2. 2q(y)−3r(y)
3. 9r(y)
4. q(y) × r(y)
5. 4q(y)

Question 78

If s(t)=8t²−2t+5, t(t)=−5t+9 then find:

1. s(t)−t(t)
2. 3s(t)+t(t)
3. 6t(t)
4. s(t) × t(t)
5. 7s(t)

Question 79

If u(x)=4x²+7x−6, v(x)=3x−10 then find:

1. u(x)+v(x)
2. 5u(x)−2v(x)
3. 4v(x)
4. u(x) × v(x)
5. 2u(x)

Question 80

If w(y)=7y²−8y+2, x(y)=−9y+7 then find:

1. w(y)−x(y)
2. 2w(y)+x(y)
3. 5x(y)
4. w(y) × x(y)
5. 3w(y)

Question 81

If y(t)=2t²+3t−5, z(t)=6t−4 then find:

1. y(t)+z(t)
2. 4y(t)−z(t)
3. 7z(t)
4. y(t) × z(t)
5. 5y(t)

Question 82

If a(x)=5x²−9x+1, b(x)=−7x+3 then find:

1. a(x)−b(x)
2. 3a(x)+2b(x)
3. 6b(x)
4. a(x) × b(x)
5. 2a(x)

Question 83

If c(y)=8y²+4y−7, d(y)=5y+2 then find:

1. c(y)+d(y)
2. 2c(y)−d(y)
3. 8d(y)
4. c(y) × d(y)
5. 4c(y)

Question 84

If e(t)=3t²−6t+9, f(t)=−8t+5 then find:

1. e(t)−f(t)
2. 5e(t)+f(t)
3. 3f(t)
4. e(t) × f(t)
5. 6e(t)

Question 85

If g(x)=6x²+7x−4, h(x)=2x−1 then find:

1. g(x)+h(x)
2. 3g(x)−2h(x)
3. 4h(x)
4. g(x) × h(x)
5. 2g(x)

Question 86

If i(y)=9y²−5y+6, j(y)=−4y+8 then find:

1. i(y)−j(y)
2. 2i(y)+j(y)
3. 5j(y)
4. i(y) × j(y)
5. 7i(y)

Question 87

If k(t)=4t²+2t−9, l(t)=7t−6 then find:

1. k(t)+l(t)
2. 5k(t)−l(t)
3. 6l(t)
4. k(t) × l(t)
5. 3k(t)

Question 88

If m(x)=7x²−3x+5, n(x)=−5x+4 then find:

1. m(x)−n(x)
2. 2m(x)+n(x)
3. 7n(x)
4. m(x) × n(x)
5. 4m(x)

Question 89

If o(y)=2y²+8y−1, p(y)=9y−7 then find:

1. o(y)+p(y)
2. 4o(y)−2p(y)
3. 3p(y)
4. o(y) × p(y)
5. 5o(y)

Question 90

If q(t)=5t²−4t+3, r(t)=−6t+10 then find:

1. q(t)−r(t)
2. 3q(t)+r(t)
3. 8r(t)
4. q(t) × r(t)
5. 2q(t)

Question 91

If s(x)=8x²+5x−2, t(x)=4x+1 then find:

1. s(x)+t(x)
2. 2s(x)−t(x)
3. 6t(x)
4. s(x) × t(x)
5. 3s(x)

Question 92

If u(y)=3y²−7y+6, v(y)=−9y+2 then find:

1. u(y)−v(y)
2. 5u(y)+2v(y)
3. 4v(y)
4. u(y) × v(y)
5. 7u(y)

Question 93

If w(t)=6t²+8t−5, x(t)=5t−3 then find:

1. w(t)+x(t)
2. 3w(t)−x(t)
3. 9x(t)
4. w(t) × x(t)
5. 2w(t)

Question 94

If y(x)=9x²−2x+7, z(x)=−4x+6 then find:

1. y(x)−z(x)
2. 4y(x)+z(x)
3. 5z(x)
4. y(x) × z(x)
5. 6y(x)

Question 95

If a(y)=4y²+6y−8, b(y)=7y−9 then find:

1. a(y)+b(y)
2. 2a(y)−3b(y)
3. 7b(y)
4. a(y) × b(y)
5. 3a(y)

Question 96

If c(t)=7t²−5t+2, d(t)=−3t+11 then find:

1. c(t)−d(t)
2. 5c(t)+d(t)
3. 2d(t)
4. c(t) × d(t)
5. 4c(t)

Question 97

If e(x)=2x²+9x−6, f(x)=8x−4 then find:

1. e(x)+f(x)
2. 3e(x)−f(x)
3. 6f(x)
4. e(x) × f(x)
5. 2e(x)

Question 98

If g(y)=5y²−7y+1, h(y)=−6y+5 then find:

1. g(y)−h(y)
2. 2g(y)+h(y)
3. 8h(y)
4. g(y) × h(y)
5. 5g(y)

Question 99

If i(t)=8t²+3t−9, j(t)=4t−2 then find:

1. i(t)+j(t)
2. 5i(t)−2j(t)
3. 7j(t)
4. i(t) × j(t)
5. 3i(t)

Question 100

If k(x)=6x²−8x+7, l(x)=−5x+9 then find:

1. k(x)−l(x)
2. 4k(x)+l(x)
3. 5l(x)
4. k(x) × l(x)
5. 2k(x)