Find all positive and negative integers b such that the trinomial is factorable.
-$$7 x ^ { 2 } + b x - 1$$
A) 6
B) $\pm 6$
C) 8
D) $\pm 8$

Question

Quizplus · Accepted Answer

For a quadratic trinomial $ax^2 + bx + c$ to be factorable over the integers, the product $ac$ must have factors that sum to $b$. Here, $a = 7$ and $c = -1$, so $ac = -7$. The factors of $-7$ that sum to either $6$ or $-6$ are $-1$ and $7$ or $1$ and $-7$, respectively. Therefore, $b$ can be $6$ or $-6$.

Find All Positive and Negative Integers B Such That the Trinomial