Mathcollege
posted by Mike
Can you please help with this one.
Find an nthdegree polynomial function with real coefficients satisfying the given conditions.
n=4
2 i and 4 i are zeros;
f(1)=85
f(x)=
(Type an expression using x as the variable. Simplify your answer.)

Steve
if it has real coefficients, then its complex roots come in conjugate pairs, meaning
f(x) = a(x2i)(x+2i)(x4i)(x+4i)
= a(x^2+4)(x^2+16)
Now just find a that makes f(1) = 85 
Anonymous
for n repeated independent trials, with a constant probability of success p for all trials, find the probability of exactly x success in each of them
a) n=5, p=1/3, x=4
b) n=30, p=0.6, x=22
Respond to this Question
Similar Questions

Polynomial Function
Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 
Polynomial Fucntion Problem
Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? 
Polynomial Function
Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 I got: f(x)=4^3+12x^24x+12 3.n=3;4 and i zeros;f(3)=60 I got:f(x)=6x^3+24x^2+6x+24 
Algebra
Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 I got: f(x)=4^3+12x^24x+12 3.n=3;4 and i zeros;f(3)=60 I got:f(x)=6x^3+24x^2+6x+24 
college algebra
form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a? 
calculusplease help!!
I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with … 
algebra
Find a polynomial function of least degree with real coefficients satisfying the given properties. zeros 3, 0, and 4 f(1) =10 
algebra
Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; i;7+i Enter the polynomial f(x)=a(____) type expression using x as the variable 
College Algebra
Find a Quadratic polynomial function with real coefficients satisfying the given conditions. 4 and 3 are zeros; f(1) = 30 HELP. I have no idea. 
Mathcollege
Find an nthdegree polynomial function with real coefficients satisfying the given conditions. n=4; i and 3 i are zero; f(2)=65 f(x)= An expression using x as the variable. Simplify your answer.