How do you factor the expression $9x^2+9x+2$ ?

Question

1879 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-24T22:44:33

You look for its roots with the quadratic formula.

We first need $Delta = b^2 - 4ac = 9$ . So there are two real roots.

By the quadratic formula, a root is given by the expression $(-b +- sqrtDelta)/2a$ . We apply it here.

$x_1 = (-9 - 3)/18 = -2/3$ and $x_2 = (-9 + 3)/18 = -1/3$ .

So this polynomial is equal to $9(x + 2/3)(x + 1/3)$ .

How do you factor the expression 9x^2+9x+29x^2+9x+2?