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Algebra

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I have several of these problems and am having trouble getting the hang of it.
Can you help me?

Factor. If the result is the square of a binomial, write it as such. If the result is prime, so state.
Here are the first couple of problems.

1) x^2 + 7x + 12
2) x^2 - x - 12
3) x^2 - 4x - 12

  • Algebra -

    With these easy ones that start with 1x^2
    look at the last term
    e.g for x^2 + 7x + 12
    last term is 12,
    can you find two factors of 12 that have a sum of the middle term, namely 7 ?
    yes: 3 and 4
    3x4 =12
    3+4 = 7
    so the factors are (x+3)(x+4)

    2nd:
    s^2 - x -12
    can you find two factors of -12 that have a sum of -1 ?
    yes! , -4 and 3
    -4(3) = -12
    -4 + 3 = -1
    so (x-4)(x+3)

    you try the last one, let me know what you got

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