Question

Please help AND SHOW WORK!!!!
3x^(3)-6x^(2)+15x-30

Answer 1

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

Explanation:

All four terms here have 3 as a factor. Factor out 3:

3x^(3)-6x^(2)+15x-30 => 3(x^3 - 2x^2 + 5x - 10)

The last two terms can be rewritten as 5(x - 2). The first two terms can be rewritten as 3x^2(x - 2). So (x - 2) is a factor of 3(x^3 - 2x^2 + 5x - 10). We get:

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