Alg I

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Factoring ax^2 + bx + c
Find two different values that complete each expression so that the trinomial can be factored into the product of two binomials. Factor your trimonials.

4n^2+ __n - 3

Please explain and solve.

  • Alg I -

    I multiplied the first and last to get -12
    (4)(-3) = -12

    now what factors give me -12 ?
    could be 4, -3 or -4, 3 or 6, -2 or -6, 2

    for each pair, their sum has to go in the middle, so
    we could have:
    4n^2 + n - 3
    4n^2 -n - 4
    4n^2 + 4n - 3
    4n^2 - 4n - 3

    each of these WILL factor
    e.g.
    4n^2 + 4n - 3 = (2n-1)(2n+3)

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