Help me please A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.

Thank you!

Given:

A polynomial equation with rational coefficients has the roots   .

To find:

The two additional roots.

Solution:

According to the irrational root theorem, if is a root of a polynomial, then is also the root of that polynomial.

It is given that, are roots of a polynomial.

By using irrational root theorem, are also the roots of that polynomial.

Therefore, the two additional roots are .

d

step-by-step explanation:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1