SOLUTION: Find a cubic polynomial in standard form with real​ coefficients, having the given zeros 0 and 2+5i

Algebra ->  Finance -> SOLUTION: Find a cubic polynomial in standard form with real​ coefficients, having the given zeros 0 and 2+5i      Log On


   

Question 1154198:
Find a cubic polynomial in standard form with real​ coefficients, having the given zeros
0 and 2+5i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given zeros:
x%5B1%5D=0 and
x%5B2%5D=2%2B5i-> complex zeros always come in pairs, so you also have
x%5B3%5D=2-5i

f%28x%29=%28x%29%28x-2-5i%29%28x-2%2B5i%29
f%28x%29=%28x%29%28x%5E2-2x%2Bx%2A5i-2x%2B4-10i-x%2A5i%2B10i-25i%5E2%29

f%28x%29=%28x%29%28x%5E2-4x%2B4%2B25%29
f%28x%29=%28x%29%28x%5E2-4x%2B29%29
f%28x%29=x%5E3-4x%5E2%2B29x

+graph%28+600%2C+600%2C+-20%2C+20%2C+-500%2C+500%2C+x%5E3-4x%5E2%2B29x%29+