Verified Answer :

asadullahgiki

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:

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

Step-by-step 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)

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