Page 390 - Algebra 1

L E S S O N Multiplying Polynomials 58
Warm Up
1. Vocabulary The polynomial 2x2 + 3x - 6 is a __________ (binomial,
(53)
trinomial ).
Simplify each expression.
2. 2xy2(3x2y + 5xy - 6x) (15)
3. -3xy(x3y2 - 4xy - 7xy2) (15)
4.3x2 +2x-5x+7 (18)
5.6x3 +2x2 -10x-15x2 -5x+25 (18)
When simplifying expressions, use the Distributive Property and the order of operations.
2(12 + 14)
2 • 12 + 2 • 14
24 + 28 52
The Distributive Property can be used when multiplying a polynomial by a monomial. To find the product of a monomial and polynomial, multiply the monomial by each term in the polynomial.
Multiplying a Polynomial by a Monomial
New Concepts
Math Language
A monomial is a polynomial with only one term.
Example
1
Online Connection www.SaxonMathResources.com
Find each product. a. 3x(x2 + y)
SOLUTION
3x(x2 + y)
= 3x(x2) + 3x(y) = 3x3 + 3xy
b. -4xy(x2 + y - 2z2) SOLUTION
-4xy(x2 + y - 2z2)
= -4xy(x2) + (-4xy)(y) + (-4xy)(-2z2) = -4x3y - 4xy2 + 8xyz2
Distributive Property Simplify.
Distributive Property Simplify.
Lesson 58 375