Factor the given polynomial. 8x^2 + 2x - 3

Question

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A. 8x²+2x-3 =.

B. The polynomial is prime.

Answer 1

8x²+2x-3

When the coefficient of x² is not 1, I prefer to use the slide and divide method.

ax²+bx+c

Multiply a times c and determine the factors of the result that add up to b

8×3 = 24 Factors into 6 and -4 which sums to 2

(x+6)(x-4)

Then divide the number in each parenthesis term by a which is 8 in this case.

(x+6/8)(x-4/8) = (x+3/4)(x-1/2)

Then multiply each parenthesis term by the each fraction's denominator

(4x+3)(2x-1)

A. 8x²+2x-3 = (4x+3)(2x-1)