# What is the value of the constant k if the real solutions to the equation #x^4-kx^3+2kx^2+2x-20=0# are #x=2# and #x=-1#?

##### 2 Answers

Oct 3, 2017

#### Explanation:

Given:

Substitute -1 for x:

Substitute 2 for x:

This means that all real values of k will give the polynomial a root of

Oct 3, 2017

See below.

#### Explanation:

According to the question

or grouping coefficients

Solving for