Question

3. Which of the following represents the expression 9x^3 – 12x^2 factored completely?(A) 9x^2(x-12)(B) 3(3x^3-4x^2)(C) 3x^2(3x-4)(D) 3x^3(3-4x)

Answer 1

c

Question

9x^3 - 12x^3

Solution

The highest common factor (HCF) of 9x^3 - 12x^2 is 3x^2

factoring out we have

`3x^2(\frac{9x^{3^{}}}{3x^2}\text{ - }(12x^2)/(3x^2))`

= 3x^2 ( 3x - 4)

option C