X2 + 19X - 42 = 0
What two factors of - 42 add up to 19?
(X - 2)(X + 21)
----------------------FOIL and see the function reappear.
X = 2
X = - 21
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(x - 10)(x - 9)
(x+7)(x+12)
(x - 12)(x - 7)
use the quadratic formula since there isn't a factor of 60 that when added together equals 19 The above answer is wrong because 4 and 15 are such numbers. x2 + 19x + 60 = x2 + 4x + 15x + 60 = x(x + 4) + 15(x + 4) = (x + 4)(x + 15)
-x2 + x + 42 = -[x2 - x - 42] = -[x2 - 7x + 6x - 42] = -[x*(x - 7) + 6*(x - 7)] = -(x - 7)*(x + 6)