SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
Do Now:
1.
2.
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
Finding the Degrees of Monomials
A monomial is a number, a variable, or the product of a number and one or more variables with
whole number exponents. The degree of a monomial is the sum of the exponents of the
variables in the monomial. The degree of a nonzero constant term is 0. The constant 0 does not
have a degree.
Find the degree of each monomial.
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
1) Write each of the polynomials in standard form. Identify the degree and leading coefficient of
the polynomial.
a)
d)
3​x​ 2​  5​x​ 3​ ​ 7​ ​ 8​x​
b)
x​ 3​  2​ x​ ​ x​ 2​
9​ x4​ ​ 2​ x​ ​ x​2​ ​ 1​
e)
c)
6​  4​ x​ ​ 5​ x​ 2​
9​  4​ x​ 2​
Adding Polynomial Expressions
2) Simplify each expression. Write the answer in standard form.
a)
c)
e)
x​  x​
x​ 2​  x​ 2​
3​x 2​ ​ 7​ x​ 2​ ​ 1​
b)
d)
f)
3​x​  2​ x​
5​ x​ 2​  4​ x​ 2​
8​  7​ x​ 2​ ​ 11​x​ 2​
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
3) Simplify each expression. Write the answer in standard form.
a)
c)
e)
x​  x​
x​ 2​  x​ 2​
3​x 2​ ​ 3​x​ 2​ ​ 10​
b)
d)
f)
3​x​  3​x​
5​x​ 2​  4​ x​ 2​
7​ x​ 3​  11​x​ 2​ ​ 4​ x​ 3​
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
4) Adding Polynomials
a)
Vertical Format
Horizontal Format
b)
Vertical Format
Horizontal Format
c)
Vertical Format
Horizontal Format
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
Geometry Applications
5) Vince is going to frame the rectangular picture with dimensions show. The frame will be x +1
inches. Find the perimeter of the frame.
6)
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
LESSON PRACTICE
Find the degree of each monomial.
Write the polynomial in standard form. Identify the degree and leading coefficient of the
polynomial. Then classify the polynomial by the number of terms.
Find the sum (#’s 23, 25, 27)
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
LESSON PRACTICE ANSWERS
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SWBAT: Find the degrees of monomials. Classify polynomials. A dd and subtract polynomials.
Lesson 10-1
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