## anonymous 4 years ago Factor the expression: x3 + 2x2 - 3x - 6

1. anonymous

2. anonymous

x^3 + 2x^2 - 3x - 6 x^2(x + 2) - 3(x + 2) (x^2 - 3)(x + 2) (x^2 - 3)(x + 2) or (x + √3)(x - √3)(x + 2)

3. jim_thompson5910

$\Large x^3 + 2x^2 - 3x - 6$ $\Large (x^3 + 2x^2) + (-3x - 6)$ $\Large x^2(x + 2) -3(x + 2)$ $\Large (x^2-3)(x + 2)$

4. anonymous

So what would I put down as the answer?

5. anonymous

jim is right

6. jim_thompson5910

I would stop at $\Large (x^2-3)(x + 2)$ instead of keep going to get $\Large (x-\sqrt{3})(x+\sqrt{3})(x + 2)$ because most books I've seen factor over the rationals

7. anonymous

Thank ya'll :)