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)

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
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

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

Hope that helps!!!

The american colonies would have been ruled by a king.

Using the rise/run rule. you would get 2/6.simp. 1/3