SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 3: zeros: 1 + i and -8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 3: zeros: 1 + i and -8       Log On


   

Question 1198661: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 3: zeros: 1 + i and -8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Degree 3:
zeros:
x%5B1%5D=1+%2B+i+.........then you also have x%5B2%5D=1+-+i+
x%5B3%5D=+-8
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%281+%2B+i%29%29%28x-%281+-+i+%29%29%28x-%28-8%29%29
f%28x%29=%28x-1+-+i%29%28x-1+%2B+i+%29%28x%2B8%29
f%28x%29=%28x%5E2+-+2+x+%2B+2%29%28x%2B8%29
f%28x%29=x%5E3+%2B+6x%5E2+-+14x+%2B+16

+graph%28+600%2C+600%2C+-30%2C+30%2C+-30%2C+50%2C+x%5E3+%2B+6x%5E2+-+14x+%2B+16%29+