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24 November, 03:55

How many possible pairs of number factors does c have in the fallowing trinomial?

x^2+bx+36

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  1. 24 November, 04:02
    0
    X^2 + (m + n) x + m*n = (x + m) (x + n);

    We have m*n = 36 and m + n = b;

    1*36 = 36; m = 1; n = 36; the factors are (x + 1), (x + 36)

    2*18 = 36; m = 2; n = 18; the factors are (x + 2), (x + 18)

    3*12 = 36; m = 3; n = 12; the factors are (x + 3), (x + 12)

    4*9 = 36; m = 4; n = 9; the factors are (x + 4), (x + 9)

    6*6 = 36; m = 6; n = 6; the factors are (x + 6), (x + 6)

    There are 5 pairs of number factors.
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