# CLASSIFYING POLYNOMIALS EXPRESSIONS WORKSHEET

Give the name for the following polynomials based on power and degree of the polynomials.

Problem 1 :

3

Solution

Problem 2 :

-p+ 2

Solution

Problem 3 :

6x- 2x3

Solution

Problem 4 :

5n- n- 2

Solution

Problem 5 :

-2p+ 10p6 + 5p2

Solution

Problem 6 :

9m + 5m+ 10m- 5

Solution

Problem 7 :

8n- n3 + 7n

Solution

1)  Based on degree = Constant,

Based on number of terms = Monomial

2)  Based on degree = Quadratic

Based on number of terms = Binomial

3)  Based on degree = Quartic

Based on number of terms = Binomial

4)  Based on degree = Quartic

Based on number of terms = trinomial

5)  Based on degree = polynomial

Based on number of terms = trinomial

6)  Based on degree = cubic

Based on number of terms = polynomial

7)  Based on degree = cubic

Based on number of terms = trinomial

Write the degree of each polynomial.

Problem 1 :

3x4 + 2xyz + 5x² - 4

Solution

Problem 2 :

-6s²tu³ + st + tu² + st³u + t³

Problem 3 :

-d² - d – 9d³

Problem 4 :

uv + 4u

Problem 5 :

6u² + u²vw – 2u³vw + 4u³

Problem 6 :

3m5

Problem 7 :

p²q³r³ - p4qr² + 7 + qr + p6q

Problem 8 :

-8a² + abc + b²c² + ab

Problem 9 :

x – x6 + x² + x³ - x5

Problem 10 :

4r4 + r³s4t³ - r²s³t + t6 + 3

Problem 11 :

-q³rs² + 3 – q7r² + r²s4

Problem 12 :

w4xy5 – w6xy³ + 9w4x5y2

Solution

 1) Degree is 42) Degree is 6.3)  Degree is 3.4)  Degree is 4.5)  Degree is 56)  Degree is 7 7)  Degree is 88) Degree is 89) Degree is 610) Degree is 1011)  Degree is 912)  Degree is 11

Which of the following are polynomial functions? For those that are polynomial functions, state the degree and leading coefficient. For those that are not, explain why not.

Problem 1 :

f(x) = 4x³ - 5x – 1/2

Solution

Problem 2 :

g(x) = 6x-4 + 7

Problem 3 :

h(x) = √(9x4 + 16x²)

Problem 4 :

k(x) = 15x – 2x4

Problem 5 :

f(x) = 3x-5 + 17

Problem 6 :

f(x) = -9 + 2x

Problem 7 :

f(x) = 2x5 – 1/2x + 9

Problem 8  :

f(x) = 13

Problem 9 :

h(x) = (27x³ + 8x6)

Problem 10 :

k(x) = 4x – 5x²

Solution

## Recent Articles

1. ### Finding Range of Values Inequality Problems

May 21, 24 08:51 PM

Finding Range of Values Inequality Problems

2. ### Solving Two Step Inequality Word Problems

May 21, 24 08:51 AM

Solving Two Step Inequality Word Problems