Dividing Polynomials

Theorem (Division Alogrithm) Dividing Polynomials. If a polynomial is divided by a nonzero polynomial then there is a quotient polynomial sand a remainder polynomial such that where either or the degree of is less than the degree of the divisor polynomial

Example (Division Alogrithm) Dividing Polynomials.

Theorem (Remainders and Factors) Dividing Polynomials. The remainder when dividing polynomials is 0 exactly when the divisor is a factor of the dividend. In this case the other factor is the quotient.

Example (Remainders and Factors) Dividing Polynomials.

Theorem (The Remainder Theorem) Dividing Polynomials. If a polynomial is divided by then the remainder is the number

Example (The Remainder Theorem) Dividing Polynomials.

Theorem (The Factor Theorem) Dividing Polynomials. The number is a root of the polynomial exactly when is a factor of

Example (The Factor Theorem) Dividing Polynomials.

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Dividing Polynomials
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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