# Math Help - polynomial, degree and zeros (help) i think i have the answer

1. ## polynomial, degree and zeros (help) i think i have the answer

form a polynomial f(x) with real coefficients having the given degree and zeros.
degree 4
zeros 2-3i; -1 multiplicity 2

when i did it i got x4+6x3+16x2+18x+7

x=-1 x=-1 x=(2-3i) x=(2+3i)

2. Originally Posted by nae33
form a polynomial f(x) with real coefficients having the given degree and zeros.
degree 4
zeros 2-3i; -1 multiplicity 2

when i did it i got x4+6x3+16x2+18x+7

x=-1 x=-1 x=(2-3i) x=(2+3i)
The answer is wrong. Show all your working so that your mistake(s) can be pinpointed.

Note that the factors of f(x) are (x+1)^2, (x - 2 + 3i) and (x - 2 - 3i).