Factor the polynomial by grouping.
-$7 x ^ { 2 } + 17 x - 12$
A)(x + 3)(7x - 4)
B)(x - 3)(7x + 4)
C)(x - 4)(7x + 3)
D)prime

Question

Quizplus · Accepted Answer

To factor the polynomial $7x^2 + 17x - 12$, we look for two numbers that multiply to $7 \times -12 = -84$ and add to 17. These numbers are 21 and -4. We rewrite the middle term (17x) using these numbers: $7x^2 + 21x - 4x - 12$. Grouping terms and factoring them gives us: $7x(x + 3) - 4(x + 3)$, which further factors to $(x + 3)(7x - 4)$.

Factor the Polynomial by Grouping 7x2+17x−127 x ^ { 2 } + 17 x - 127x2+17x−12

Factor the Polynomial by Grouping $7 x ^ { 2 } + 17 x - 12$