Question

Explain, in complete sentences, how you would factor 12x3– 82x2– 14x. Explain, in complete sentences, how you would factor 12x3– 82x2– 14x. @Mathematics

Answer 1

First, factor x from each term:
2x(6x^2-41x-7)

Next, split 41x into two numbers that multiply to get -42: 1 and -42:
2x(6x^2-42x + 1x - 7)

Group Factor first two terms and the last two terms inside the terms inside the parentheses:
2x(6x(x-7)+1(x-7))

Continue Simplifying:
2x((x-7)(6x+1))