Polynomial Functions

Question

I need help finding the answer...

Find a polynomial​ P(x) with real coefficients having a degree​ 6, leading coefficient 3​, and zeros 2​, 0​ (multiplicity 3), and 3-3i.

Answer 1

Hi ROCHELLE,

It is important to know when one of zeros of polynomial is complex number the conjugate of this is also the zero

Zeros are x = 2 x = 0 multiplicity 3 x = 3 - 3i x = 3 + 3i

I think only 0 is multiplicity 3

P(x) = 3 x^3 ( x -2 ) ( x - 3+3i) ( x -3 -3i) this function has a degree 6.

I hope it is useful,

Minoo