Factor the polynomial function over the complex numbers. f(x)=x4+9x3+15x2+9x+14

Step-by-step explanation:

We are given a polynomial function over complex number

We have to factorize the polynomial over complex number.

Constant term=14

Factor of 14 are

Substitute x=1  in given polynomial

By factor theorem

Hence, x=1 is not  a factor of given polynomial.

Substitute x=-2

By factor theorem

Hence, x+2 is a factor of given polynomial.

Substitute x=-7

By factor theorem

Hence, x+7 is factor of given polynomial.

Product of (x+7) and (x+2)=

Hence, the polynomial is in factor form is given by

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if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (: