Factor the trinomial by grouping.
-$8 x ^ { 2 } - x - 34$
A) $( 8 x - 17 ) ( x + 2 )$
B) $( 8 x + 17 ) ( x - 2 )$
C) $( 8 x - 2 ) ( x + 17 )$
D) $( 8 x + 2 ) ( x - 17 )$

Question

Quizplus · Accepted Answer

To factor the trinomial $8x^2 - x - 34$, we look for two numbers that multiply to $8 \times -34 = -272$ and add to $-1$. The numbers -17 and 16 work because $-17 + 16 = -1$ and $-17 \times 16 = -272$. Rewriting the middle term as $16x - 17x$ gives us $8x^2 + 16x - 17x - 34$, which can be grouped and factored as $8x(x + 2) - 17(x + 2)$, leading to $(8x - 17)(x + 2)$.

Factor the Trinomial by Grouping 8x2−x−348 x ^ { 2 } - x - 348x2−x−34

Factor the Trinomial by Grouping $8 x ^ { 2 } - x - 34$