Write all complex zeros of the polynomial 18x^5+51x^4-130x^3-248x^2+200x-35

Question

I also have to write the polynomial in completely factored form.

Answer 1

Write all complex zeros of the polynomial 18x^5+51x^4-130x^3-248x^2+200x-35.

There are no complex roots of this polynomial. It has five real roots, two of then a repeated root.

In factored form the equation is:

(2x+7)(x^2-5)(3x-1)^2

The roots are: -7/2, sqrt(5), -sqrt(5), 1/3, 1/3