Question

By (2x^3 - x^2 - 24x + 12) / (2x - 1)
A x^2-1
B x^2-12
C 2x-1
D x^2-1/2x-12

Answer 1

B

Explanation:

(2x^3 - x^2 - 24x + 12) / (2x - 1) = x^2-12

(use long polynomial division)

Answer 2

`\boxed {\sf B.\:x^2-12}`

Explanation:

`\sf \cfrac{2x^3-x^2-24x+12}{2x-1}`

Factor the expressions that aren't already factored:

`\sf \cfrac{(2x-1)(x^2-12)}{2x-1}`

Cancel out 2x-1 in both sides numerator and denominator:

`\sf x^2-12`

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