If one factor of x² + 2x - 24 is (x + 6). We need to find the other factor?

Solution:

Given:

One factor of x² + 2x - 24 is (x + 6)

Consider the factors of the constant term (-24) which sum to give the coefficient of the x- term (+2)

The factors are + 6 and - 4, since

6 × - 4 = -24

and 6 - 4 = +2

x² + 2x - 24 = (x + 6)(x - 4) ← in factored form

So, the other factor is (x - 4)

Therefore,

the other factor is (x - 4).

If one factor of x² + 2x - 24 is (x + 6). We need to find the other factor?

Summary:

If one factor of x² + 2x – 24 is (x + 6). The other factor is (x - 4).