Name:_____________________________Period:____
HOMEWORK : Polynomial vocab
1. Complete the table.
−𝟗𝒙 + 𝟑𝒙𝟐 + 𝟒𝒙𝟑 − 𝟕
−𝟑 − 𝟐𝒙𝟐 + 𝟖𝒙 + 𝟓𝒙𝟒
Coefficients of terms
that have variables?
List the terms.
Degree of Polynomial?
Write polynomial in
standard form.
Leading coefficient?
Constant term?
2. Write each polynomial in standard form, and identify it as a monomial, binomial, trinomial, or polynomial.
a. 9 − 8𝑥 2 + 2𝑥 4
b. 𝑦 2 + 1 + 4𝑦 3 − 5𝑦
c. 2𝑦 2 + 3 + 5𝑦 3 − 7𝑦
d. -6x
e. 4 + 8x2 – x
f. -12 – 14y
g. 6𝑦 2 − 4𝑥 2 + 4𝑥𝑦
h. 3 + 8𝑝 − 11𝑟 + 6𝑝2
i. 2 + 5𝑗𝑘 − 6𝑗 2 + 7𝑘 2
3. Identify the degree and coefficient of each term in the polynomial 4x5 + 12x3 + x2 − x + 5.
Term
Degree
4x5
5
12x3
x2
−x
Coefficient
12
4. Identify the degree and constant term of each polynomial.
Polynomial
Degree of Polynomial
Constant Term
2x2 + 3x + 7
2
7
−5y3 + 4y2 − 8y − 3
36 + 12x + x2
For Items 5-9, use the polynomial 4x3 + 3x2 − 9x + 7.
5. Name the coefficients of the terms in the polynomial that have variables.
6. List the terms, and give the degree of each term.
7. What is the degree of the polynomial?
8. Identify the leading coefficient of the polynomial.
9. Identify the constant term of the polynomial.
10. Write each polynomial in standard form.
a) 9 + 8x2 + 2x3
b)y2 + 1 + 4y3 − 2x