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We can infer that the numerators of the rational roots will always be factors of the constant term and the denominators will be factors of the leading coefficient We can often use the rational zeros theorem to factor a polynomial This is the essence of the rational zero theorem

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It is a means to give us a pool of possible rational zeros. Determine all possible values of p q, where p is a factor of the constant term and q is a factor of the leading coefficient. This is one of over 1,000 aleks walkthroughs on this channel covering a broad range of courses

The calculator will find all possible rational roots of the polynomial using the rational zeros theorem

After this, it will decide which possible roots are actually the roots. To find the real zeros of the function using the rational zeros theorem, list the possible rational zeros, check them by substitution, and then use the real zeros found to factor the function The rational zero test is also known as the rational zero theorem (or) rational root theorem It is used to find the list of possible rational zeros of a polynomial function.

Use the rational zero (root) theorem to find all the real zeros of 2x4 − 5x3 − 6x2 + 20x − 8 = 0 The rational zeros (or roots) must be of the form ±p/q, where p is an integer factor of the constant term and q is an integer factor of the leading coefficient. In this lesson, we will learn how to use the rational zeros theorem, which is also known as the rational roots theorem to find all of the possible rational zeros for a polynomial function with integer coefficients.

Given a polynomial function f (x), use the rational zero theorem to find rational zeros

Determine all factors of the constant term and all factors of the leading coefficient