Question

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

Answer 1

The question is

Shows the factor of x³-12x²-2x+24 by grouping method.

Now,

take ' x² ' common from first two terms and ' -2 ' from the last two terms.

x³-12x²-2x+24

=x²(x-12)-2(x-12)

=(x-12)(x²-2) are factors.

Answer 2

(x-12)(x^2-2)

Explanation:

`x^3 - 12x^2 - 2x + 24`

Factor the polynomial by grouping

We group first two terms and last two terms

`(x^3 - 12x^2)+(- 2x + 24)`

Now we factor out GCF from each group

GCF of x^3 -12x^2 is x^2

GCF of -2x+24 is -2

`x^2(x - 12)-2(x -12)`

(x-12)(x^2-2)