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x2 + 11x + 24 You want the equation to be in the form (x + a)(x + b), where the two solutions are -a and -b.

You know that...
ab = 24
...and...
a + b = 11


Note that 8 times 3 is 24, and 8 plus 3 is 11.
x2 + 11x + 24 = (x + 3)(x + 8)


The two answers are x = -3 and x = -8.

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