Question

Which shows one way to determine the factors of x^3-9x^2+5x-45 by grouping?

A)x^2(x-9)-5(x-9)
B)x^2((x+9)-5(x+9)
C)x(x^2+5)-9(x^2+5)
D)x(x^2-5)-9(x^2-5)

Answer 1

Your answer would be Letter Choice (C).

x^3 - 9x^2 + 5x - 45

Factored to expression: 

 x(x^2 + 5) - 9(x^2 + 5)

x^3 - 9x^2 + 5x - 45

Answer = (x - 9)(x^2 + 5)



Letter Choice is your answer:
Simplify:

x(x^2 + 5) - 9(x^2 + 5)

Distribute:

(x)(x^2) + (x)(5) + ( - 9)(x^2) + ( - 9)(5)

= x^3 + 5x +   - 9x^2 +   - 45

Answer: x^3 - 9x^2 + 5x - 45





Hope that helps!!!