SOLUTION: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 1 − 2i and 5, with 5 a zero of multiplicity 2. R(x)=

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Question 1201306: Find a polynomial with integer coefficients that satisfies the given conditions.
R has degree 4 and zeros 1 − 2i and 5, with 5 a zero of multiplicity 2.
R(x)=
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


Complex roots come in conjugate pairs, so the unspecified zero is 1 + 2i













Details:



Muliplying each factor (shown within paren's):



Now multiplying the two trinomials:



Combining like terms:



 

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