SOLUTION: write a polynomial f(x) in complete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. give in factored form and expanded form.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: write a polynomial f(x) in complete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. give in factored form and expanded form.       Log On


   

Question 381711: write a polynomial f(x) in complete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. give in factored form and expanded form.
thank you so much!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If x=-i is a zero, then so is x=i
f%28x%29=a%28x-1%29%28x-2%29%28x-i%29%28x%2Bi%29
f%280%29=a%28-1%29%28-2%29%28-i%29%28i%29=8
a%28-2%29%28-i%5E2%29=8
a=-4
f%28x%29=-4%28x-1%29%28x-2%29%28x-i%29%28x%2Bi%29
However the leading coefficient is -4.
There is no solution as the problem is currently set up.
Please check the problem setup and re-post.