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Divide the following using Long Division: x'+4x -5x+5 2 5x' + 6x+8 x-3 x+2 3 3.

Divide the following using Long Division: x'+4x -5x+5 2 5x' + 6x+8 x-3 x+2 3 3.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 26E
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Name: Hannah Chambers Fahringer Harrisburg Area Community College Math 103 Assignment #3 Show all work!!! Finding the Roots of Power Functions of Degree Greater Then 2 Divide the following using Long Division: x' +4x² – 5x+5 5x' +6x+8 | x-3 x+2 x*(x-3) : x 3_ 3x' (x³+4x*-5x +5)-(x³ -3x*) = x² X-3) x3+4 x²-5x +5 4x2-6x+5-x²7& tlo+53Źx3 -3x? 7x? -5x+5 X-3 7x2-5x+5 X -3 Synthetic Division – A fast way of dividing a polynomial by a binomial of the form x- c. This method will provide a quotient more quickly than long division. a) Arrange the polynomial coefficients in descending powers, with a 0 coefficient for any missing term. b) Write c for the divisor x-c to the left of the coefficients. c) Write the leading coefficient on the new bottom row. d) Multiply by c and put in the next column, Next, add the column.
Transcribed Image Text:Name: Hannah Chambers Fahringer Harrisburg Area Community College Math 103 Assignment #3 Show all work!!! Finding the Roots of Power Functions of Degree Greater Then 2 Divide the following using Long Division: x' +4x² – 5x+5 5x' +6x+8 | x-3 x+2 x*(x-3) : x 3_ 3x' (x³+4x*-5x +5)-(x³ -3x*) = x² X-3) x3+4 x²-5x +5 4x2-6x+5-x²7& tlo+53Źx3 -3x? 7x? -5x+5 X-3 7x2-5x+5 X -3 Synthetic Division – A fast way of dividing a polynomial by a binomial of the form x- c. This method will provide a quotient more quickly than long division. a) Arrange the polynomial coefficients in descending powers, with a 0 coefficient for any missing term. b) Write c for the divisor x-c to the left of the coefficients. c) Write the leading coefficient on the new bottom row. d) Multiply by c and put in the next column, Next, add the column.
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