Subtract digit
Do Y
Name
numbe
☺ Do You UNDERSTAND?
1. ? ESSENTIAL QUESTION How does
adding or subtracting polynomials compare
to adding or subtracting integers?
2. Communicate Precisely How does the
definition of the prefixes mono-, bi-, and tri-
help when naming polynomials? © MP.6
3. Vocabulary Describe the relationship
between the degree of a monomial and the
standard form of a polynomial.
Write
8. 2y
9. 3x
Simplit
10. (X
11. (3)
12. AS
4. Use Structure Explain why the sum x + x is
equal to 2x instead of x© MP.7
5. Error Analysis Rebecca says that all
monomials with the same degree are like
terms. Explain Rebecca's error. © MP3
264 TOPIC 7 Polynomials
Polynomials and Factoring

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

What is the value of x in the diagram below?

1) what is the measure of the exterior angle, ∠uvw ? 2) in triangle man, what is the measure of the exterior angle at n (in degrees)?