Question

If (x+4) is a factor of the polynomial x³-x²-14x+24.Find its other factors

Answer 1

Answer:

(x - 2), (x - 3)

Step-by-step explanation:

p(x) = x³ - x² - 14x + 24 = 0

Dividing p(x) by (x + 4)...,

$x^3-x^2-14x+24 \\ \\ x^3+4x^2-5x^2-20x+6x+24 \\ \\ x^2(x+4)-5x(x+4)+6(x+4) \\ \\ (x+4)(x^2-5x+6) \\ \\ (x+4)(x^2-2x-3x+6) \\ \\ (x+4)(x(x-2)-3(x-2)) \\ \\ (x+4)(x-2)(x-3)$

Thus the other factor are (x - 2) and (x - 3).

Answer 2

Answer:

(x - 2), (x - 3)

Step-by-step explanation: