mac1105_lecture3_1

mac1105_lecture3_1 - L3 Polynomial Division; Synthetic...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
21 L3 Polynomial Division; Synthetic Division Rational Expressions Long Division 15 426 426 15 = 426 = Check : Dividend = (Quotient)(Divisor) + Remainder Dividing by a monomial : 53 2 2 46 2 xx x x +− = 2 2 x 2 x +
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
22 Dividing Two Polynomials with more than One Term : (1) Write terms in each polynomial in descending order according to degree. (2) Insert missing terms in both polynomials with a 0 coefficient. (3) Use Long Division algorithm. The remainder is a polynomial whose degree is less than the degree of the divisor. Example : Perform the division. 42 2 361 2 4 32 xx x x −+− = 2 30 2 +− 432 3061 2 4 xxx x +
Background image of page 2
23 Synthetic Division Synthetic division is used when a polynomial is divided by a first-degree binomial of the form x k . 2 ax bx c x k ++ ka b c Coefficients of Dividend Diagonal pattern : Multiply by k Vertical pattern : Add terms Example : Use synthetic division to find the quotient and remainder. 42 235 1 1 x xx x −+ + +
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
24 Example : Verify that 3 x is a factor of 32 10 6 x xx + −− Rational Expressions A
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/07/2011 for the course MAC 1105 taught by Professor Picklesimer during the Fall '10 term at University of Florida.

Page1 / 10

mac1105_lecture3_1 - L3 Polynomial Division; Synthetic...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online