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Expressions
Understanding Polynomial Expressions
Independent Practice
1. Write 9𝑥 + 3𝑥 & − 4𝑥 ) + 𝑥 * + 2𝑥 , in standard form.
2. Name the type of polynomial and state the degree.
9𝑥 , 𝑦 .
𝑥 , − 3𝑥 & + 7𝑥 )
19𝑎2 𝑏 & + 8𝑎𝑏 * 𝑐 − 27𝑎6
3. Write the following polynomial in standard form 4𝑥 ) − 16𝑥 & + 13𝑥 8 .
Part A: What is the degree of the polynomial?
Part B: How many terms are in the polynomial?
Part C: What is the leading term?
Part D: What is the leading coefficient?
www.AlgebraNation.com Section 1 Topic 3 4. Match the polynomial in the left column with its descriptive feature in the right
column.
A. 𝑥 * + 3𝑥 & − 2𝑥 + 7
I.
B. 3𝑎* 𝑏 2
II. Constant term of −7
C. 3𝑥 , − 9𝑥 * + 5𝑥 8
III. 7𝑡ℎ degree polynomial
D. 7𝑎* 𝑏 & + 18𝑎𝑏 & 𝑐 − 9𝑎*
IV. Leading coefficient of 4
E. 2𝑥 ) − 9𝑥 * + 8𝑥 6
V. Four terms
F. 4𝑥 8 − 7𝑥 & + 9
VI. 5𝑡ℎ degree polynomial
G. 𝑥 & − 7
VII. Equivalent to 5𝑥 8 + 3𝑥 , − 9𝑥 *
9𝑡ℎ degree monomial
5. Write a binomial in standard form that has a degree of 4.
6. Write a trinomial in standard form that has a degree of 5.
7. Janae wrote the following polynomial: 2𝑥 ) − 4𝑥 * + 6𝑥 8 .
Janae said it was a trinomial with a leading coefficient of 2. Justin said it
was a trinomial with a leading coefficient of 6. Who is correct? Explain.
8. Ladarius wrote the following monomial: 5𝑥 8 𝑦 * .
Ladarius said the monomial had a degree of 11. Ayla said the monomial
had a degree of 8. Who is correct? Explain.
www.AlgebraNation.com Section 1 Topic 3