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put this solution on YOUR website! f(x) = x³+6x²-4x-24
Factor x² out of the first two terms
Factor -4 out of the last two terms
f(x) = x²(x+6)-4(x+6)
Factor (x+6) out of both terms:
f(x) = (x+6)(x²-4)
Factor the second parentheses as the difference of squares:
f(x) = (x+6)(x-2)(x+2)
To find the zeros set the expression = 0
(x+6)(x-2)(x+2) = 0
Use the zero factor property:
x+6=0; x-2=0; x+2=0
x=-6; x=2; x=-2
Edwin
