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P Over Q Method And Synthetic Division To Factor The Polynomial

Synthetic division is generally used however not for dividing out factors but for finding zeroes or roots of polynomials. More about this later.

Use Long Division To Divide Polynomials College Algebra

The point of the factor theorem is the reverse of the remainder theorem.

P Over Q Method

Consequently the polynomial has 2 rational roots. We can use the rational zeros theorem to find all the rational zeros of a polynomial.

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For x 1 to be a factor of f x 2 x4 3 x2 5 x 7 the factor theorem says that x 1 must be a zero of f x.

P Over Q Method And Synthetic Division

Methods For Finding Zeros Of Polynomials Lumen Learning College