SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. {{{ f(x) = x^3 + 8x^2 + 22x + 20 }}} A. {{{ f(x)=(x+2)(x+3+i)(x+3-i) }}} B. {

Question 471807: Find all zeros of the function and write the polynomial as a product of linear factors.

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Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x) = x^3 + 8x^2 + 22x + 20
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I graphed "f" and found a Real root at x = -2
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Then, using synthetic division I get:
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-2)....1...8....22....20
........1...6....10...|..0
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Solve x^2+6x+10 = 0
x = [-6 +- sqrt(36-4*10)]/2
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x = [-6 +- sqrt(-4)]/2
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x = -3 +- i
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Answer: A
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cheers,
Stan H.
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