Answer:
a = 2, b = - 6 and c = 2
Step-by-step explanation:
We have to express the polynomial 2x³ - 8x² - 24x in factored form.
So, we have to express it in 2x³ - 8x² - 24x = ax(x + b)(x + c) form where we have to identify the values of constants a, b, and c.
Now, 2x³ - 8x² - 24x
= 2x ( x² - 4x - 12)
= 2x [x² - 6x + 2x - 12]
= 2x (x - 6)(x + 2)
Now, comparing 2x (x - 6)(x + 2) with ax(x + b)(x + c) we get, a = 2, b = - 6 and c = 2 (Answer)
