URGENT REQUEST ALGEBRA 2

[Guest]

hey an u please solve this for me?

Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4
Zeros: 3+4i
5 multiplicity 2 ?

[Guest]

What DO you understand of this? Since you say this is "ALGEBRA 2" I presume you have finished Algebra I and know that if polynomial equation has 5 as a root then it has x- 5 as a factor. If has 5 as a double root then it has (x- 5)(x- 5) as a factor.
If it also has 3+ 4i as a factor then it must have (x- 5)(x- 5)(x- 3- 4i) as a factor. That has degree 3. Since you want a polynomial of degree four, there must be one more factor of the form (x- something). What must the "something" be so that the polynomial has only real coefficients (no "i")?