Dividing Polynomials & The Remainder Theorem. Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the.

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A POLYNOMIAL is a monomial or a sum of monomials.

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Presentation transcript:

Dividing Polynomials & The Remainder Theorem

Dividing Polynomials When dividing a polynomial by a monomial, divide each term in the polynomial by the monomial Ex.

Dividing Polynomials When dividing a polynomial by a polynomial, use long division (called division algorithm) Ex.

More Dividing

Dividing

Dividing, one more

Synthetic Division—shortcut to long division—only use if dividing by --where a is a constant

More synthetic Division Remember if you are missing a term, you need to put in a zero for the coefficient

More synthetic Division

The Remainder Theorem

Example

The Factor Theorem

Use the Factor Theorem to Solve

Solve