Question

If one factor of the expression x2 + 5x – 24 is (x + 8), find the other factor

Answer 1

${x}^{2} + 5x - 24 \\ = {x}^{2} + 8x - 3x - 24 \\ = x(x + 8) - 3(x + 8) \\ = (x - 3)(x + 8)$

Thus, the other factor is (x-3).

Hope this helps.

Thanks.