Answer:
(w -3)(w +10)
Explanation:
The product of two binomial factors looks like ...
(x +a)(x +b) = x² +(a+b)x +ab
This means you want to find values 'a' and 'b' such that ...
- their product is -30
- their sum is 7
You can do this by looking at factor pairs of -30 that have positive sums:
-30 = (-1)(30) = (-2)(15) = (-3)(10) = (-5)(6)
The sums of these factor pairs are 29, 13, 7, 1. You want the factor pair with a sum of 7, so 'a' = -3 and 'b' = 10.
w^2 +7w -30 = (w -3)(w +10)