Question

Use the grouping method to factor x3 + x2 + 3x + 3

Answer 1

8x +3

Explanation:

Just collect the like terms, like terms have the same variable. So in this case, 2x, 3x, 3x all share the variable x, so we can add it together.

So when simplified:

2x +3x + 3x+ 3 = 8x +3

Hope this helped,

Cate

Answer 2

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

Explanation:

x^3 + x^2 + 3x + 3

Factor an x^2 out of the first group of 2 terms and a 3 out of the last group of 2 terms

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

Now factor out an (x+1)

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