Question

What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

a) 7x2 + 5x
b) 7x2 + 11x
c) 11x2 + 5x
d) 11x2 + 11x

Answer 1

Simplify

9x^2 + 8x - (2x^2 + 3x)

Simplify brackets

9x^2 + 8x - 2x^2 - 3x

Collect like terms

(9x^2 - 2x^2) + (8x - 3x)

Simplify

7x^2 + 5x

Answer: A. 7x2 + 5x

Answer 2

a) 7x^2 + 5x

Explanation:

(9x^2 + 8x) – (2x^2 + 3x)

Distribute the minus sign

(9x^2 + 8x) – 2x^2 - 3x

Line them up vertically

(9x^2 + 8x)

– 2x^2 - 3x

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7x^2 +5x