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The question probably refers to factoring 5x2 + 7x - 24
The general form of a quadratic equation is ax2 + bx + c .
In this case, a = 5, b = 7 and c = -24.
ac = 5 x -24 = -120 = - (23 x 3 x 5)
Determine the two integers whose sum is b = 7 and whose product is ac = -120
The two integers are 15 and -8.
5x2 + 7x - 24 = 5x2 + 15x - 8x -24 = 5x(x + 3) - 8(x + 3) = (5x - 8)(x + 3)
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