What are the possible rational roots of the polynomial equation?
0=2x7+3x5−9x2+6

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

Where:

- The coefficients are integers.

- is the leading coeffcient ()

- is the constant term

Every rational root of the polynomial is in the form:

For the case of the given polynomial:

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

step-by-step :

so, converting firstly the mixed fractions to improper fractions and then "adding".