SOLUTION: Form a polynomial whose zeros and degree are given. Zeros: 3, multiplicity 2; -3, multiplicity 2; degree 4.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial whose zeros and degree are given. Zeros: 3, multiplicity 2; -3, multiplicity 2; degree 4.      Log On


   

Question 967850: Form a polynomial whose zeros and degree are given.
Zeros: 3, multiplicity 2; -3, multiplicity 2; degree 4.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Zeros:
x%5B1%5D=3, multiplicity 2; =>x%5B2%5D=3
x%5B3%5D=-3, multiplicity 2; =>x%5B4%5D=-3
degree 4
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29
f%28x%29=%28x-3%29%28x-3%29%28x-%28-3%29%29%28x-%28-3%29%29
f%28x%29=%28x-3%29%5E2%28x%2B3%29%5E2
f%28x%29=%28x%5E2-6x%2B3%5E2%29%28x%5E2%2B6x%2B3%5E2%29
f%28x%29=%28x%5E2-6x%2B9%29%28x%5E2%2B6x%2B9%29

f%28x%29=x%5E4%2B18x%5E2-36x%5E2%2B81
f%28x%29=x%5E4-18x%5E2%2B81

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+85%2C+x%5E4-18x%5E2%2B81%29+