Find the rational roots of x4+5x3+7x2-3x-10=0

1 and -2 are rational roots of the given equation.

Step-by-step explanation:

The given equation is

According to the rational root theorem, all the possible rational roots of a equation are in the form of

Where, p is factors of constant term and q is factors of leading coefficient.

In the given equation the constant term is -10 and leading coefficient is 1. So, the possible rational roots are

For x=1 and x=-2, the left hand side and right had side of the equation are equal. So, (x-1) and (x+2) are factors of given equation and 1 and -2 are rational roots.

Using synthetic method, we get

The parenthesis can not be factored further because the value of the discriminant is negative.

Therefore 1 and -2 are rational roots of the given equation.

idk

step-by-step explanation: