Blaze R.

asked • 03/29/19

Pre-Calc: A polynomial with a specified complex zero

Hello! I am currently stuck on a homework question and I keep getting it wrong. Here is what the question is asking:

Find a polynomial with integer coefficients that satisfies the given conditions.

R has degree 4 and zeros 3 − 3i and 2, with 2 a zero of multiplicity 2.


Here is the work that I have done:

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

(x-2)(x-2)[(x+3)+3i][(x+3)-3i]

(x-2)(x-2)[(x+3)2-(3i)2]

(x-2)(x-2)[(x+3)2-(-9)]

(x2-4x+6)(x2+6x+18)

x4+2x3-2x2-48x+72


So R(x)=x4+2x3-2x2-48x+72


When I go to check it it says it's wrong. I have checked the math over and over and have done it 4 time but end up with the same answer. I appreciate your time in advance!


2 Answers By Expert Tutors

By:

Terry F. answered • 03/29/19

Tutor
4.9 (323)

PhD, MBA, MA(math) Math, Statistics, Economics,Finance, Physics, Comp.

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