119% Divide the following using Long Division: x'+4x-5x+5 5х3 +6х +8 x-3 x+2 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. e) Repeat step d. f) Use the numbers in the bottom row to write the quotient and the remainder. Work from right to left. Divide using synthetic division and compare to the results from above. x'+4x² – 5x+ 5 5х + 6х +8 x-3 x+2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 10DE
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119%
Divide the following using Long Division:
x' +4x – 5x+5
5x +6x+8
.3
x - 3
x+2
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.
e) Repeat step d.
f) Use the numbers in the bottom row to write the quotient and the remainder. Work from
right to left.
Divide using synthetic division and compare to the results from above.
x' +4x² – 5x +5
5x +6x+8
x – 3
x+2
|
0
Transcribed Image Text:1 / 6 119% Divide the following using Long Division: x' +4x – 5x+5 5x +6x+8 .3 x - 3 x+2 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. e) Repeat step d. f) Use the numbers in the bottom row to write the quotient and the remainder. Work from right to left. Divide using synthetic division and compare to the results from above. x' +4x² – 5x +5 5x +6x+8 x – 3 x+2 | 0
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