Question

Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

Answer 1

Do 15 times 3 which is 75 minus 10 which is 65 plus 4x

Answer 2

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

Explanation:

Factor 15x^3-5x^2 + 6x – 2 by grouping

`15x^3 - 5x^2 + 6x - 2`

In grouping method we group first two terms and last two terms

`(15x^3 - 5x^2) + (6x - 2)`

Take out GCF from each group

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

Now we factor out 3x-1

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