SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros degree; 4; Zeros: -2, -2i, 3 multiplicity 2 find the polynomial in form f(x)=a( )

Algebra ->  College  -> Linear Algebra -> SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros degree; 4; Zeros: -2, -2i, 3 multiplicity 2 find the polynomial in form f(x)=a( )      Log On


   

Question 964448: Form a polynomial f(x) with real coefficients having the given degree and zeros
degree; 4; Zeros: -2, -2i, 3 multiplicity 2
find the polynomial in form
f(x)=a( )
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Not a possible polynomial,
f%28x%29=a%28x%2B2%29%28x%2B2i%29%28x-3%29%5E2
f%28x%29=a%28x%5E2%2B%282%2B2i%29x%2B4i%29%28x%5E2-6x%2B9%29
f%28x%29=a%28x%5E4%2B%282i-4%29x%5E3-%288i%2B3%29x%5E2-%286x-18%29x%2B36i%29
This is a polynomial of degree 4 but it doesn't have real coefficients.
To get real coefficients, x=2i must also be a root, but then it will have a degree of 5.
Check the problem setup and repost.