Question 1181246: Alggebraically determine the x-intercepts and y-intercepts and sketch the graph of the polynomial : P(x) = 2x^3 -9x^2 +7x +6
Thank you for any help.
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Rational roots theorem should show zeros to be -1/2, 2, and 3. If let x equal to 0, this should give the y-intercept.
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Possible Roots (zeros) to check according to Rational Root Theorem:
-3,+3,-2,+2,-1,+1,-1/2,+1/2
TEST FOR SOME ROOTS
3 | 2 -9 7 6
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| 6 -9 -6
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2 -3 -2 0 linear root x-3
2 | 2 -3 -2
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| 4 2
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2 1 0 linear root x-2
Other linear root according to result in the synthetic division,
2x+1
The function, factorized is  .
The zeros are 3, 2, -1/2.
You can find the y-intercept.
Answer by MathLover1(20849)  (Show Source):
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