SOLUTION: Write a polynomial function of least degree with real coefficients in standard form that has zeros +4 and -4 and 3i. Thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write a polynomial function of least degree with real coefficients in standard form that has zeros +4 and -4 and 3i. Thanks!      Log On


   

Question 964699: Write a polynomial function of least degree with real coefficients in standard form that has zeros +4 and -4 and 3i. Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients means complex roots occur in complex conjugate pairs.
So if 3i is a root, so is -3i.
f%28x%29=%28x-4%29%28x%2B4%29%28x-3i%29%28x%2B3i%29
f%28x%29=%28x%5E2-16%29%28x%5E2%2B9%29
f%28x%29=x%5E4%2B9x%5E2-16x%5E2-144
f%28x%29=x%5E4-7x%5E2-144