Factor the polynomial by grouping.
-$4 x ^ { 2 } - 4 x - 35$
A)(2x - 7)(2x + 5)
B)(2x + 7)(2x - 5)
C)(2x - 7)(x + 5)
D)prime

Question

Quizplus · Accepted Answer

To factor the polynomial $4x^2 - 4x - 35$, we look for two numbers that multiply to $4 \times -35 = -140$ and add to $-4$. The numbers -14 and 10 work, so we rewrite the middle term: $4x^2 - 14x + 10x - 35$. Grouping, we get $2x(2x - 7) + 5(2x - 7)$, which factors to $(2x - 7)(2x + 5)$.

Factor the Polynomial by Grouping 4x2−4x−354 x ^ { 2 } - 4 x - 354x2−4x−35

Factor the Polynomial by Grouping $4 x ^ { 2 } - 4 x - 35$