Question

Determine the linear factors for 27x^3-12x

Answer 1

27x^3 - 12x factors into

3(9x^3 - 4x) a common factor of three has been taken out.

3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.

9x^2 - 4 factors by means of the difference of squares

3x(3x - 2)(3x + 2)

The two linear factors are 3x - 2 and 3x + 2