Respuesta :

An example of rational roots can be given as:

Let the polynomial be: 4x³ + 3x² + 6x + 9;

Then,

coefficient of the variable with the highest degree = 4

coefficient having the variable with degree 0 = 9

Factors of 4 are: 1, 2;

Factors of 9 are: 1, 3;

The possible rational roots for such an equation will be: 3, 1, 1/2, 3/2, -3, -1, -1/2, -3/2;

Rational roots are the roots or solutions of equations of any polynomial consisting of one variable of any power.

Where all the coefficients are integers.

Let the solution/root of a polynomial be p/q. Then the root would be rational if and only if the coefficient of the variable with the highest degree is divisible by 'q' , and the coefficient independent of the variable or having the variable with degree 0 is divisible by 'p'

Learn more about rational roots at:

brainly.com/question/29551180

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