SOLUTION: Determine a fourth- degree polynomial P(x) with integer coefficients that has Zeros -3i and 4, where 4 has a multiplicity of 2.

Algebra.Com
Question 547335: Determine a fourth- degree polynomial P(x) with integer coefficients that has Zeros -3i and 4, where 4 has a multiplicity of 2.
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
The zeros are 3i, -3i, 4, and 4

f(x) = (x - 3i)(x + 3i)(x - 4)(x - 4)

Multiply that all the way out and get:

f(x) = x4 - 8x3 + 25x2 - 72x + 144  

Edwin
RELATED QUESTIONS

Find a polynomial with integer coefficients that satisfies the given conditions. R has... (answered by robertb)
Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1,... (answered by MathLover1)
How to write a polynomial of degree 3, with integer coefficients that has zeros √3i and (answered by MathLover1,mananth)
form a polynomial f(x) with real coefficients having the given degree and zeros.... (answered by Alan3354)
Find a polynomial with integer coefficients that satisfies the given conditions. R has (answered by math_helper)
A degree 4 polynomial with integer coefficients has zeros −1, −3i and 1, with (answered by MathLover1)
find a polynomial of degree 4 that has the following zeros -3i, 3i, -2 multiplicity of... (answered by jsmallt9)
Form a polynomial f(x) with real coefficients having the given degree and zeros.... (answered by MathLover1)
what is fourth degree polynomial with the interger coeffients that has zeros 3i and -1... (answered by MathLover1)