Factor the expression.
W^2-14w+24
To factor the expression w^2 - 14w + 24, we need to find two numbers whose product is 24 and whose sum is -14.
The numbers -2 and -12 satisfy these conditions because -2 * -12 = 24 and -2 + -12 = -14.
Therefore, we can rewrite the expression as:
w^2 - 2w - 12w + 24
Now, we can factor by grouping:
(w^2 - 2w) - (12w - 24)
w(w - 2) - 12(w - 2)
Notice that we have a common factor of (w - 2), so we can factor that out to get:
(w - 2)(w - 12)
Therefore, the expression w^2 - 14w + 24 factors to (w - 2)(w - 12).