SOLUTION: 10. Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 8i and 10i please help, thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 10. Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 8i and 10i please help, thank you!      Log On


   



Question 467865: 10. Form a polynomial, f(x), with real coefficients having the given degree and zeros.
Degree: 4; zeros: 8i and 10i
please help, thank you!

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If 8i is a zero, then so is -8i. If 10i is a zero, then so is -10i.
==> the polynomial is f(x) = (x-8i)(x+8i)(x-10i)(x+10i) = %28x%5E2+%2B+64%29%28x%5E2+%2B+100%29 = x%5E4+%2B+164x%5E2+%2B+6400.