Factor completely. x 3 + 6x 2 - 4x - 24
a.(x + 6)(x - 2)(x + 2)
b.(x + 2)(x - 6)(x + 2)
c.(x - 6)(x + 2)(x + 2)x^3 + 6x^2 - 4x - 24 = x^2(x + 6) - 4(x + 6) = (x + 6)(x^2 - 4) = (x + 6)(x + 2)(x - 2)

Option (a) is correct.

The factored form of given expression is

Step-by-step explanation:

  Given  expression

We have to factorize the given expression completely.

Consider the given expression

We will solve the given expression by grouping terms and taking common factor common.

Taking common from first two terms and  -4 common from last two terms, we have,

Taking (x+6) common , we have,

Also , using algebraic identity

We have a = x , b = 2

We have,

Thus, the factored form of given expression is