Divide.

(20x2 – 12x + 8) ÷ (2x + 8)

A. 10x minus 34 plus 280 over 2x minus 8

B. 10x plus 34 plus 280 over 2x minus 8

C. 10x plus 34 plus 375 over 2x minus 8

D. 10x minus 46 plus 376 over 2x plus 8

equation

1 answer

(20x^2 - 12x + 8) ÷ (2x + 8)

First, divide the first term of the numerator by the denominator:
20x^2 ÷ 2x = 10x

Next, multiply the result by the denominator and subtract from the numerator:
10x * (2x + 8) = 20x^2 + 80x
(20x^2 - 20x^2) = 0x
(-12x - 80x) = -92x

Dividing -92x by 2x results in -46.

So, the answer is:
10x - 46 + 8 over 2x + 8
which simplifies to:
10x - 46 over 2x + 8

Therefore, the correct choice is D. 10x - 46 over 2x + 8