5.3 Dividing Polynomials Basic Division & Division Algorithm

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Presentation transcript:

5.3 Dividing Polynomials 1 2 3 Basic Division & Division Algorithm Synthetic Division 3 Practice Problems

Basic Division Divide a Polynomial by a Monomial Divide EACH term of the polynomial by the monomial Example:

Division Algorithm (Long Division)

Another Division Algorithm Example

Synthetic Division Another process for dividing a polynomial by a binomial The denominator MUST be in the form x-r, where r is any constant For x-6, r is 6 For x+12, r is -12 as -(-12)=12 The variable must be to the first power The coefficient for the variable MUST be 1 Otherwise it must be forced to be 1

Synthetic Division Example

Synthetic Division Example (Cont.)

Synthetic Division Example With a Divisor Coefficint Other Than 1

Synthetic Division Example With a Divisor Coefficint Other Than 1 (Cont.)

Synthetic Division Example With a Divisor Coefficint Other Than 1(Cont

Practice Problems Page 236 Problems 2-20 Even due today Odd due next day back