factor the polynomial:

x^2 + 6x + 9

2 answers

Try a perfect square:
(x+a)²
=x²+2ax+a²
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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