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math

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factor the polynomial:

x^2 + 6x + 9

  • math -

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

  • math -

    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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