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:
[tex]x^3 - 12x^2 - 2x + 24[/tex]
Factor the polynomial by grouping
We group first two terms and last two terms
[tex](x^3 - 12x^2)+(- 2x + 24)[/tex]
Now we factor out GCF from each group
GCF of x^3 -12x^2 is x^2
GCF of -2x+24 is -2
[tex]x^2(x - 12)-2(x -12)[/tex]
(x-12)(x^2-2)
