Question

question 4 (1 point)
factor:
v² + 3v - 88

blank 1:

Explanation:

Step1: Find pair of factors of -88

We need two numbers that multiply to $-88$ and add to $3$. The numbers are $11$ and $-8$, since $11 \times (-8) = -88$ and $11 + (-8) = 3$.

Step2: Split middle term and factor

Rewrite the quadratic using the factor pair, then factor by grouping:

$$\begin{align*} v^2 + 3v - 88 &= v^2 + 11v - 8v - 88\\ &= v(v + 11) - 8(v + 11)\\ &= (v + 11)(v - 8) \end{align*}$$

Answer:

$(v + 11)(v - 8)$