Question

What is the difference of the polynomials?

(5x^3 + 4x^2) - (6x^2 - 2x - 9)

Answers:
A.) -x^3 + 6x^2 + 9
B.) -x^3 + 2x^2 - 9
C.) 5x^3 - 2x^2 - 2x - 9
D.) 5x^3 - 2x^2 + 2x + 9​

Answer 1

D

Explanation:

We want to find the difference between the two polynomials:

`(5x^3+4x^2)-(6x^2-2x-9)`

Distribute the negative:

`=(5x^3+4x^2)+(-6x^2+2x+9)`

Rearrange the terms:

`=(5x^3)+(4x^2-6x^2)+(2x)+(9)`

Combine like terms. Hence:

`=5x^3-2x^2+2x+9`

Our answer is D.