# How To Find Rational Roots

February 12, 2022 By Vaseline How To Find Rational Roots. Use trial and error to find out if any of the rational numbers, listed in step 1, are indeed zero of the polynomial. Q is a divisor of a n.

Q is a divisor of a n. Here we use the rational root theorem. Link to section in online textbook.

### This Mathguide Video Will Demonstrate How To Make A List Of All Possible Rational Roots Of A Polynomial And Find Them Using Synthetic Division.

There will be more after that but it might be the right approach. The rational root theorem states: To check to see if any of the possible solutions are real solutions, we plug them back into the polynomial to see if it will equal 0.

### Suppose You Have A Polynomial Of Degree N, With Integer Coefficients:

Finding a polynomial's zeros using the rational root theorem. Each rational roots has the form p / q  where p  is an integer factor of a_0  and q  is an integer factor of `a_n. Rational roots test / theorem.

### B) For Each Possible Rational Root, Replace X With The Value And Evaluate The Function.

The rational root theorem (rational zero theorem) is used to find the rational roots of a polynomial function. Check the denominator factors to make sure you aren't dividing by zero! If there are, then solve for r^6 and figure out what will make the discriminant rational.

### Of Course, It's Easy To Find The Roots Of A Trivial Problem Like That One, But What About Something Crazy Like This:

Determine the positive and negative factors of each. Here we use the rational root theorem. If playback doesn't begin shortly, try restarting your device.

### This Theorem States That, Given A Polynomial A N X N + A N − 1 X N − 1 +.

Solve that factor for x. By this theorem, the rational zeros of a polynomial are of the form p/q where p and q are the coefficients of the constant and leading coefficient. Use the rational root theorem to list all of the polynomial's potential zeros.