Posted by **Bob** on Monday, March 28, 2011 at 1:37pm.

factor the polynomial:

x^2 + 6x + 9

- math -
**MathMate**, Monday, March 28, 2011 at 4:02pm
Try a perfect square:

(x+a)²

=x²+2ax+a²

- math -
**E***, Monday, March 28, 2011 at 6:11pm
x^2+6x+9

Product of the coefficients of the 1st and last terms: +9 (1x9)

Sum: +6 (middle term is always the sum)

List all the factors of 9 and determine which pair would give you a product of +9 and a sum of +6:

1,9

3,3 ✓

your answer will be (x+3)^2 or (x+3)(x+3)

Check: F.O.I.L. (x+3)(x+3)

x^2+3x+3x+9

x^2+6x+9

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