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

The second option is correct.

Answer 2

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} + (8x)/( - 2x)`

`= - 6 {x}^(2) + 2x - 4`
The correct answer is B.