SOLUTION: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3      Log On


   

Question 1195373: Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Starts with 3%28x%2B2%29%28x-2%29%5E4 and you finish the needed multiplications.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3
He's WRONG, so cross%283%28x+%2B+2%29%28x+-+4%29%5E4%29.

Try to come up with the correct factors, and then the polynomial function.

Answer by ikleyn(52839) About Me  (Show Source):
You can put this solution on YOUR website!
.
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4,
−2 is the only other zero, leading coefficient is 3
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If you start from this expression,   y+=+%283%28x+%2B+2%29%28x+-+4%29%5E4%29,   that @josgarithmetic gave to you,
you will NEVER come to the right answer.