Question

Given f(x)= x^4-3x^3+2x^2-7x-11 find all roots to the nearest 0.001

Answer 1

x1= 3.329
x2= 0.291 + 1.882
x3= 0.291 - 1.882
x4= -0.911

Answer 2

The given function is

`f(x)= x^4-3x^3+2x^2-7x-11`

By rational root test, the roots of the polynomial can be

1, -1, 11, and -11.

When you will graph the polynomial, you will find that there are two real roots and two imaginary roots.

By, Graphically two real roots are = 3.329,& -0.911.

These two roots are near to three decimal places.