Question

factoring by grouping

complete the steps to factor (56x^2 - 8x - 7x + 1) by grouping.

1. group pairs of terms with common factors.

((56x^2 - 8x) + (-7x + 1))

1. factor the gcf from each group.

(8x(7x - 1) - 1(7x - 1))

1. use the distributive property.

what is the factorization of the polynomial?

(8x - 1)(7x - 1)
(8x + 1)(7x - 1)
(8x + 7x)(1 - 1)

Explanation:

Identify the expression and current step

Using the Factoring Polynomials knowledge point

$$ 8x(7x-1) - 1(7x-1) $$

Apply the distributive property

Using the Distributive Property knowledge point

$$ (8x-1)(7x-1) $$

Answer:

• (A) \((8x-1)(7x-1)\) (Correct answer)
• (B) \((8x+1)(7x-1)\)
• (C) \((8x+7x)(1-1)\)