1. 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
1

2. 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
2

3. *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
3

4. 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
4

5. Find the degree of each polynomial.
E) 3r4
4
F) b + 6
1
G) 8x5y4 ­ 2x8
9
H) 12
0
5

6. 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
6