Homework Help: Form a polynomial f(x) from coefficient and it's 0

Posted by Armando on Monday, May 30, 2011 at 12:01am.

Form a polynomial, f(x), with real coefficients having the given degree and zeros.
Degree: 4; zeros: 6i and 7i

I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it.

Thanks.

Form a polynomial f(x) from coefficient and it's 0 - Mgraph, Monday, May 30, 2011 at 12:28am
Because the coefficients of f(x) are REAL,
f(x) has zeros: 6i and -6i, 7i and -7i.
For example,

f(x)=(x-6i)(x+6i)(x-7i)(x+7i)= (x^2+36)(x^2+49)

Answer this Question

Related Questions

calculus--please help!! - I have two questions that I don't understand and ...
algebra - form a polynomial f(x) with real coefficients having the given degree ...
college algebra - form a polynomial f(x) with real coefficients having the given...
pre-calculus - form a polynomial f(x) with real coefficients having the given ...
college algebra - Form a polynomial, f(x), with real coefficients having the ...
Algebra - Form a polynomial f(x) with real coefficients having the given degree ...
Calculus - Form a polynomial, f(x) with real coefficients having the given ...
pre-calculus - form a polynomial f(x) with real coefficients having the given ...
math - Find a polynomial f(x) with leading coefficient 1 and having the given ...
college algebra - form a polynomial f (x) with real coefficients having the ...

For Further Reading

First Name:
School Subject:
Answer: