SOLUTION: Find a polynomial of lowest possible degree that has 2 as a zero of multiplicity 3, and -1 as a zero of multiplicity 1.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a polynomial of lowest possible degree that has 2 as a zero of multiplicity 3, and -1 as a zero of multiplicity 1.      Log On


   

Question 1003893: Find a polynomial of lowest possible degree that has 2 as a zero of multiplicity 3, and -1 as a zero of multiplicity 1.
Answer by MathLover1(20849) About Me  (Show Source):
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a polynomial of lowest possible degree that has x%5B1%5D=2 as a zero of multiplicity 3, and x%5B2%5D=-1 as a zero of multiplicity 1
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B1%5D%29%28x-x%5B1%5D%29%28x-x%5B2%5D%29
f%28x%29=%28x-2%29%28x-2%29%28x-2%29%28x-%28-1%29%29
f%28x%29=%28x-2%29%28x-2%29%28x-2%29%28x%2B1%29
f%28x%29=%28x%5E2-4x%2B4%29%28x%5E2-x-2%29
f%28x%29=x%5E4-x%5E3-2x%5E2-4x%5E3%2B4x%5E2%2B8x%2B4x%5E2-4x-8
f%28x%29=x%5E4-5x%5E3%2B6x%5E2%2B4x-8

+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E4-5x%5E3%2B6x%5E2%2B4x-8%29+