factor. \$ j^2 - 2j - 15 \$

$factor. \$ j^2 - 2j - 15 \$$

We need two numbers that multiply to -15 and add up to -2. The numbers are -5 and 3 since $(-5)\times3 = -15$ and $-5 + 3=-2$.

Using the numbers from Step 1, we can factor $j^{2}-2j - 15$ as $(j - 5)(j+ 3)$.

$(j - 5)(j + 3)$