Question

One factor of x^3+x^2-14x-24 is x-4. Finding the remaining factors and it’s not -3

Answer 1

Explanation:

x³ + x² − 14x − 24

x³ + x² − 20x + 6x − 24

x (x² + x − 20) + 6 (x − 4)

x (x + 5) (x − 4) + 6 (x − 4)

(x (x + 5) + 6) (x − 4)

(x² + 5x + 6) (x − 4)

(x + 2) (x + 3) (x − 4)

The other two factors are x + 2 and x + 3.