Posted by **Breanna** on Sunday, December 30, 2012 at 5:21am.

Form a polynomial f(x) with real coeffiecients having the given degree and zeros.

degree 4, zeros 3, multiplicity 2; 6i

f(x)=a()

Can someone show how to do this. I have tried and do not have a clue. I am lost!!! So, please show work.

- calculus -
**Steve**, Sunday, December 30, 2012 at 6:00am
by the time you get to calculus, you should know how to use the roots to form a polynomial. If you tried, you should show what you have tried, and where you got stuck.

If a is a root of f(x)=0, (x-a) is a factor of f(x).

Since complex roots come in pairs, -6i is also a root, so

f(x) = (x-3)(x-3)(x-6i)(x+6i)

= (x-3)^2 (x^2+36)

saying you do not have a clue indicates either

a) you have woefully neglected your studies, or

b) you are just lazy and want someone else to do your work, or

(c) both of the above.

## Answer this Question

## Related Questions

- calculus--please help!! - I have two questions that I don't understand and need ...
- college algebra - form a polynomial f(x) with real coefficients having the given...
- algebra - form a polynomial f(x) with real coefficients having the given degree ...
- Algebra ll - Please help!! I do not understand any of this!! Form a polynomial f...
- algebra URGENT HELP - form a polynomial whose degree and zeros are given. dont ...
- calculus - form a polynomial with real coefficients have given degree and zeros...
- pre-calculus - form a polynomial f(x) with real coefficients having the given ...
- Form a polynomial f(x) from coefficient and it's 0 - Form a polynomial, f(x), ...
- 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 ...

More Related Questions