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

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.

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

Step-by-step explanation:

Factor the polynomial by grouping

We group first two terms and last two terms

Now we factor out GCF from each group

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

GCF of -2x+24 is -2

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

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

32

step-by-step explanation: