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:
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