SOLUTION: write a polynomial in compelete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. also, find the expanded form please!

Algebra ->  Inequalities -> SOLUTION: write a polynomial in compelete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. also, find the expanded form please!       Log On


   

Question 379081: write a polynomial in compelete factored form that has a degree of 4, leading coefficient of -3, and zeros at 1,2, and -i and f(0)=8. also, find the expanded form please!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You have overdefined the problem which leaves it not solvable.
If x=-i is a zero, then so is x=i
f%28x%29=-3%28x-1%29%28x-2%29%28x%2Bi%29%28x-i%29
f%28x%29=-3%28x%5E2-3x%2B2%29%28x%5E2%2B1%29
However,
f%280%29=-3%282%29%281%29=-6 and does not equal 8.
So there is no solution.