SOLUTION: P has degree 3 and zeros 2 and i. find a polynomial that satisfies the given conditions. use real numbers only

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: P has degree 3 and zeros 2 and i. find a polynomial that satisfies the given conditions. use real numbers only      Log On


   

Question 835396: P has degree 3 and zeros 2 and i. find a polynomial that satisfies the given conditions. use real numbers only
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots always come in complex conjugate pairs so if i is a root then so is -i.
P=%28x-2%29%28x%2Bi%29%28x-i%29
P=%28x-2%29%28x%5E2%2B1%29
P=x%28x%5E2%2B1%29-2%28x%5E2%2B1%29
highlight%28P=x%5E3-2x%5E2%2Bx-2%29