Question

Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x. (2 points) Select one: a. −6x2 + 2x + 4 b. −6x2 + 2x − 4 c. 6x4 − 2x3 + 4x2 d. 6x2 − 4x2 + 8x

Answer 1

So we want to simplify
$\frac{12 {x}^{3} - 4 {x }^{2} + 8x }{ - 2x}$
We split the numerators,

$= \frac{12 {x}^{?3} }{ - 2x} - \frac{4x {}^{2} }{ - 2x} + \frac{8x}{ - 2x}$
$= - 6 {x}^{2} + 2x - 4$
The correct answer is B.