division of polynomials in manufacturing, algebra homework help

Writing in Math
Use the information on page 345
to explain how you can use division of
polynomials in manufacturing. Include the dimensions of the piece of paper that the publisher
needs, the formula from geometry that applies to this situation, and an explanation of how to use
division of polynomials to find the width of the flap.

6-3
Dividing Polynomials
Main Ideas
Divide polynomials
using long division
• Divide polynomials
using synthetic
division
GET READY for the Lesson
Arianna needed 140×2 + 60x square inches of paper to make a book
jacket 10x inches tall. In figuring the area she needed, she allowed for a
front and back flap. If the spine of the book jacket is 2x inches, and the
front and back of the book jacket are 6x inches, how wide are the front
and back flaps? You can use a quotient of polynomials to help you find
the answer.
New Vocabulary
synthetic division
21-
CA
10x
10X
8x
1-flap
2x
Use Long Division In Lesson 6-1, you learned to divide monomials. You
can divide a polynomial by a monomial by using those same skills.
+
Sum of quatients
Axy
8
+
EXAMPLE Divide a Polynomial by a Monomial
Simplify
4x®y2 + Bxy? – 12xy
4x?y2 + 8xy2 – 12x34xy &xy? 12x²y3
4xy
•*?-12-1-
12 • 12-13-1
= x+y + 2y – 3xy2
JTOHECK Your Progress Simplify.
9x?y* – 15xy2 + 12xy
18. 169+ 120°r* – 2001
Зху?
1C. (20-424 – 16cf + 4cdf)(4cdf)-1 D. (18x2y + 27x+y2z)(3xy)-2
Divide.
-Ixor 1
1A.
You can use a process similar to long division to divide a polynomial by a
polynomial with more than one term. The process is known as the division
algorithm. When doing the division, remember that you can only add or
subtract like terms.