SOLUTION: Form a polynomial whose zeros and degree are given. Zeros:2, multiplicity 2; -2, multiplicity 2; Degree:4 I got x^4+8 is that correct?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial whose zeros and degree are given. Zeros:2, multiplicity 2; -2, multiplicity 2; Degree:4 I got x^4+8 is that correct?      Log On


   

Question 934624: Form a polynomial whose zeros and degree are given.
Zeros:2, multiplicity 2; -2, multiplicity 2; Degree:4 I got x^4+8 is that correct?
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You should have

(x-2)^2*(x+2)^2

again I'll let you expand everything out.

Note: (x-2)^2*(x+2)^2 does NOT expand out to x^4+8.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
Zeros:
x%5B1%5D=2, multiplicity 2; => means two zeros are x%5B1%5D=2
x%5B2%5D=-2, multiplicity 2; => means two zeros are x%5B2%5D=-2
Degree:4
%28x-x%5B1%5D%29%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B2%5D%29

%28x-2%29%28x-2%29%28x-%28-2%29%29%28x-%28-2%29%29

%28x-2%29%28x-2%29%28x%2B2%29%28x%2B2%29

%28x-2%29%5E2%28x%2B2%29%5E2

%28x%5E2-4x%2B4%29%28x%5E2%2B4x%2B4%29



x%5E4%2B8x%5E2-16x%5E2%2B16

x%5E4-8x%5E2%2B16