Question

Factor 15x^3 - 5x^2 +6x-2 by grouping. what is the resulting expression

Answer 1

(3x - 1)(5x^2 + 2)

Explanation:

15x^3 - 5x^2 (the first two terms) have the common factor 5x^2, so that

15x^3 - 5x^2 = (5x^2)(3x - 1).

Likewise, 6x - 2 = 2(3x - 1).

Thus, 15x^3 - 5x^2 +6x-2 can be written as (3x - 1)(5x^2 + 2)