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Lesson 7­4.notebook

Assignment:
1­­>L7.4, pg. 426­427, #3­45 (3rds) ­ Due Tomorrow (1/17)
2­­>Checkpoint 7.3/7.4 ­ Due Tuesday (1/21)

January 16, 2014
Lesson 7­4.notebook

Lesson 7.4 WarmUp:
Simplify each expression. 
1) (­5x2y)(3x4)
2)

(­xy)3(xz)4

3)

(3pr2)5

4)

r7n7t2
n3r3t2

5)

(­2mn2)­3
  4m­6n4

January 16, 2014
Lesson 7­4.notebook

Lesson 7.4:
*monomial ­ one term
*binomial ­ the sum of 2 monomials
*trinomial ­ the sum of 3 monomials
*polynomial ­ a monomial or the sum of many monomials
*the degree of a monomial ­ the sum of the exponents of all of its 
variables...non­zero constants have a degree of zero, and zero has no degree
*the degree of a polynomial ­ the greatest degree of any term in the polynomial

January 16, 2014
Lesson 7­4.notebook

January 16, 2014

*standard form of a polynomial ­ written with the terms in order from 
greatest degree to least degree

*leading coefficient ­ the coefficient of the first term
Lesson 7­4.notebook

January 16, 2014

Lesson 7.4 examples:
Determine whether each expression is a polynomial.  If so, identify the polynomial as a 
monomial, binomial, or trinomial.
A) 5xy + 7yz
yes ­ binomial
B)

­15
yes ­ monomial

C)

7x­3  ­  9b
no...

D)

6a3  +  4b  +  b  +  10
yes ­ trinomial
Lesson 7­4.notebook

January 16, 2014

Find the degree of each polynomial.
E) 3r4
4
F)

b + 6
1

G)

8x5y4  ­  2x8
9

H)

12

0
Lesson 7­4.notebook

January 16, 2014

Write each polynomial in standard form.  Identify the leading coefficient.
I)
3x + 1 + 2x2
2x2  +  3x  +  1 ;    2
J)

25  ­  x3  +  x
­ x3  +  x  +  25 ;   ­1

K)

6x3  ­  7x5  +  x  ­  2x2  +  1
­7x5  +  6x3  ­  2x2  +  x  +  1 ; ­7  

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