Warm Up

1
Warm Up Evaluate each expression for the given
value of x. 1. 2x 3 x 2 2. x2 4 x
3 3. 4x 2 x 1 4. 7x2 2x 3 Identify
the coefficient in each term. 5. 4x3 6. y3 7.
2n7 8. 54
7
13
2
69
4
1
1
2
2
Graph the line with the given the slope and
y-intercept.
y intercept 4
3
Scientific notation is a method of writing
numbers that are very large or very small. A
number written in scientific notation has two
parts that are multiplied.
The first part is a number that is greater than
or equal to 1 and less than 10.
The second part is a power of 10.
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Learning Targets
Students will be able to Classify polynomials
and write polynomials in standard form. Evaluate
polynomial expressions.
5
A monomial is a number, a variable, or a product
of numbers and variables with whole-number
exponents.
The degree of a monomial is the sum of the
exponents of the variables. A constant has degree
0.
6
Find the degree of each monomial.
3
7
B. 7ed
1
2
C. 3
3
0
The degree of a monomial is the sum of the
exponents of the variables. A constant has degree
0.
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8
A polynomial is a monomial or a sum or difference
of monomials. The degree of a polynomial is the
degree of the term with the greatest degree.
9
Find the degree of each polynomial.
A. 11x7 3x3
D. x3y2 x2y3 x4 2
7
5
4
C. 5x 6
1
The degree of a polynomial is the degree of the
term with the greatest degree.
10
Polynomials that contain only one variable are
usually written in standard form.
The standard form of a polynomial that contains
one variable is written with the terms in order
from greatest degree to least degree. When
written in standard form, the coefficient of the
first term is called the leading coefficient.
11
Write the polynomial in standard form. Then give
the leading coefficient.
12
y5 1y5
13
Write the polynomial in standard form. Then give
the leading coefficient.
14
Write the polynomial in standard form. Then give
the leading coefficient.
15
Write the polynomial in standard form. Then give
the leading coefficient.
16
Some polynomials have special names based on
their degree and the number of terms they have.
Degree Name



Problem 1
Problem 2
17
Classify each polynomial according to its degree
and number of terms.
A. 5n3 4n
Degree 3 Terms 2
cubic binomial
B. 4y6 5y3 2y 9
Degree 6 Terms 4
C. 2x
linear monomial.
Degree 1 Terms 1
Tables
18
Classify each polynomial according to its degree
and number of terms.
a. x3 x2 x 2
cubic polynomial
Degree 3 Terms 4
b. 6
Degree 0 Terms 1
c. 3y8 18y5 14y
8th-degree trinomial
Degree 8 Terms 3
Tables
19
A tourist accidentally drops her lip balm off the
Golden Gate Bridge. The bridge is 220 feet from
the water of the bay. The height of the lip balm
is given by the polynomial 16t2 220, where t
is time in seconds. How far above the water will
the lip balm be after 3 seconds?
16t2 220
16(3)2 220
16(9) 220
feet
HW p. 479/18-72 EVEN