SOLUTION: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.) P(x) = x3 + 3x2 − 13x − 15

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.) P(x) = x3 + 3x2 − 13x − 15      Log On


   

Question 1051132: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.)
P(x) = x3 + 3x2 − 13x − 15
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

P%28x%29+=+x%5E3+%2B+3x%5E2+-13x+-15 ...........write 3x%5E2 as x%5E2%2B2x%5E2 and -13x as 2x-15x
P%28x%29+=+x%5E3%2Bx%5E2%2B+2x%5E2%2B2x-15x-15........group
P%28x%29+=+%28x%5E3%2Bx%5E2%29%2B+%282x%5E2%2B2x%29-%2815x%2B15%29
P%28x%29+=+x%5E2%28x%2B1%29%2B2x+%28x%2B1%29-15%28x%2B1%29
P%28x%29+=++%28x%2B1%29+%28x%5E2%2B2x-15%29
P%28x%29+=++%28x%2B1%29+%28x%5E2%2B5x-3x-15%29
P%28x%29+=++%28x%2B1%29+%28%28x%5E2%2B5x%29-%283x%2B15%29%29
P%28x%29+=++%28x%2B1%29+%28x%28x%2B5%29-3%28x%2B5%29%29
P%28x%29+=++%28x%2B1%29+%28x-3%29+%28x%2B5%29
solutions
%28x%2B1%29+%28x-3%29+%28x%2B5%29=0
if %28x%2B1%29+=0->x=-1...the multiplicity 1
if +%28x-3%29=0->x=3...the multiplicity 1
if +%28x%2B5%29=0->x=-5...the multiplicity 1
your answers from smallest to largest:
x=-5
x=-1
x=3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers from smallest to largest.)
P(x) = x^3 + 3x^2 − 13x − 15
x = -5 , -1 , 3
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graph%28400%2C400%2C-10%2C10%2C-20%2C10%2Cx%5E3+%2B+3x%5E2+-13x+-15%29
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Cheers,
Stan H.
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