* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Dividing Polynomials
Survey
Document related concepts
Location arithmetic wikipedia , lookup
Foundations of mathematics wikipedia , lookup
History of mathematical notation wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Vincent's theorem wikipedia , lookup
System of polynomial equations wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
History of algebra wikipedia , lookup
Division by zero wikipedia , lookup
Laws of Form wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Factorization of polynomials over finite fields wikipedia , lookup
Transcript
Elementary Algebra Section 5.6 Page 1 of 4 Section 5.7: Dividing Polynomials Big Idea: Dividing polynomials is a lot like doing arithmetic division. Big Skill: You should be able to divide polynomials using long division and, when appropriate, synthetic division. Dividing a polynomial by a monomial: Divide the monomial into each term of the polynomial, and cancel ab a b when possible. This is allowable because of the arithmetic fraction rule that c c c Practice: 24 z 5 1. 18 z 2 2. 9 p 4 12 p3 3 p 2 3p 3. x 4 y 4 8 x 2 y 2 4 xy 4 x3 y Algebra is: the study of how to perform multi-step arithmetic calculations more efficiently, and the study of how to find the correct number to put into a multi-step calculation to get a desired answer. Elementary Algebra Section 5.6 Page 2 of 4 Dividing a polynomial by a polynomial using long division: Long division of polynomials is a lot like long division of numbers: a. Arrange divisor and dividend around the dividing symbol, and be sure to write them in descending order of powers with all terms explicitly stated (even the terms with zero coefficients). b. Divide leading terms, then multiply and subtract. c. Repeat until a remainder of order less than the divisor is obtained. Compute 579 ÷ 16 Comparison between dividing integers and dividing polynomials Dividend Remainder Quotient Divisor Divisor Compute (5x2 + 7x +9) ÷ (x + 6) Practice: 3x 2 4 x 7 1. 2x 5 Algebra is: the study of how to perform multi-step arithmetic calculations more efficiently, and the study of how to find the correct number to put into a multi-step calculation to get a desired answer. Elementary Algebra 2. Section 5.6 Page 3 of 4 2 x3 x 2 7 x 13 x2 6 x3 7 x 2 6 x 6 3. 2x 1 Algebra is: the study of how to perform multi-step arithmetic calculations more efficiently, and the study of how to find the correct number to put into a multi-step calculation to get a desired answer. Elementary Algebra 4. Section 5.6 Page 4 of 4 8 9 x 2 x 2 12 x3 5 x5 2x 3 8 9 x 2 x 2 12 x3 5 x5 5. x2 3 Algebra is: the study of how to perform multi-step arithmetic calculations more efficiently, and the study of how to find the correct number to put into a multi-step calculation to get a desired answer.