Question

What is the factorization of the trinomial below? x^3-10x^2+24x

A. x(x-6)(x-4)
B. (x-6)(x+4)
C. x(x-6)(x+4)
D. (x^2-6)(x+4)

Answer 1

x ^ 3-10 x ^2 + 24x

Take the common out x from the given trinomial.

= x(x^2-10x+24)

Now factorize x^2-10x+24

= x^2-6x-4x+24

= x(x-6)-4(x-6)

= (x-6)(x-4)

The factorization of given trinomial is x(x-6)(x-4) or A.

Toodles~