SOLUTION: I am lost on this one???????? Find a polynomial of degree 12 with zeroes and 5,-3/8 and 4+5i thanks

Question 58859: I am lost on this one????????

Find a polynomial of degree 12 with zeroes and 5,-3/8 and 4+5i

thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a polynomial of degree 12 with zeroes and 5,-3/8 and 4+5i
---------------
If 4+5i is a zero, 4-5i is a zero.
Let 5 be of multiplicity 5
Let -3/8 be of multiplicity 5
Then:
f(x)=(x-5)^5 (8x+3)^5 (x-4-5i)(x-4+5i)
is a polynomial of degree 12 with
the required zeroes.
Cheers.
Stan H.

RELATED QUESTIONS
find the polynomial of least degree having zeros: 8,-5 and 6i. I am so lost with this. (answered by jim_thompson5910)

Find a polynomial of the lowest degree with only real coefiecients and having the given... (answered by fractalier)

a polynomial with a degree of 5 and with zeroes of -1, -i , -8+I. what Is the polynomial (answered by josmiceli)

can someone help me with this question; What is the relationship between the degree of (answered by stanbon)

Hello! I am suppose to write a polynomial function with the following. Degree 4,... (answered by Fombitz)

Find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros -1, -5i and 5i (answered by josgarithmetic)

find a degree 3 polynomial with coefficient of x^3 equal to 1 and zeros 2,-5i and... (answered by MathLover1)

Please form a polynomial f(x) with real coefficients having the given degree and zeroes. (answered by josgarithmetic)

For the polynomial function f(x) = x^4 - x^3 - 2x^2 - 4x - 24 Find all real zeroes... (answered by venugopalramana)