SOLUTION: write a polynomial function with leading coefficient a=1 that has the given zeros. a. -3, 4, and 2i factored and standard form b. 2 and square root of 3 factored and standard f

Algebra ->  Rational-functions -> SOLUTION: write a polynomial function with leading coefficient a=1 that has the given zeros. a. -3, 4, and 2i factored and standard form b. 2 and square root of 3 factored and standard f      Log On


   

Question 998554: write a polynomial function with leading coefficient a=1 that has the given zeros.
a. -3, 4, and 2i
factored and standard form
b. 2 and square root of 3
factored and standard form
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
a. -3, 4, and 2i
factored and standard form
-
Degree is 4, and the other root is -2i.
%28x%2B3%29%28x-4%29%28x-2i%29%28x%2B2i%29----factored form
%28x%5E2-x-12%29%28x%5E2%2B4%29
x%5E4-x%5E3-12x%5E2%2B4x%5E2-48
x%5E4-x%5E3-8x%5E2-48-----general form



b. 2 and square root of 3
factored and standard form
-
%28x-2%29%28x-sqrt%283%29%29, factored.
You do the multiplication for the general form.