SOLUTION: Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x)=2x^3+15x^2+24x-16
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Question 1086383: Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x)=2x^3+15x^2+24x-16
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
solutions:
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zeros are:,
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x)=2x^3+15x^2+24x-16
Graph to find zero at -4
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Use synthetic division::
-4....2....15....24....-16
......2....7.....-4...|..0
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Use quadratic equation::
x = [-7+-sqrt(49-4*2*-4)]/4
x = [-7+- sqrt(81)]/4
x = (-7+9)/4 or x = (-7-9)/4
x = -4 or x = 1/2
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Ans: x = -4,-4,1/2
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Cheers,
Stan H.
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