Question

Which polynomial represents the difference below?

3x^2+8x+7-(4x^2-2x)

A.–x2 + 6x + 7

B.–x2 + 10x + 7

C.3x2 + 4x + 7

D.3x2 + 6x + 7

Answer 1

− x^ 2 + 10 x + 7 so the answer is B.

hope it helps

Answer 2

`-x^2+10x+7`

Explanation:

3x^2+8x+7-(4x^2-2x). find the difference of the polynomials

First remove the parenthesis by multiplying minus inside the parenthesis.

`3x^2+8x+7-4x^2+2x`

Now we combine like terms. the terms with same variables and same exponents are like terms.

`3x^2-4x^2= -1x^2`

`8x +2x= 10x`

`3x^2+8x+7-(4x^2-2x)=-x^2+10x+7`