SOLUTION: f(x)=3x^3+11x^2+5x-3 find all the zeros in this polynomial function

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Question 526945: f(x)=3x^3+11x^2+5x-3 find all the zeros in this polynomial function
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
f(x)=3x^3+11x^2+5x-3 find all the zeros in this polynomial function
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Can you see that f(-1) = 0 ?
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Find the other factor by using synthetic division:
-1)....3....11....5....-3
........3....8....-3...|..0
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Quotient: 3x^2 + 8x -3
Factor: 3x^2+9x-x-3
3x(x+3)-(x+3)
(x+3)(3x-1)
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Zeros at x -1 and x = -3 and at 1/3
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