Yuri thinks that 3/4 is a root of the following function. q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.

Given:

The polynomial function is

Yuri thinks that is a root of the given function.

To find:

Why cannot be a root?

Solution:

We have,

If is a root, then the value of the function at is 0.

Putting in the given function, we get

Taking LCM, we get

Since the value of the function at is not equal to 0, therefore, is not a root of the given function.