# FIND DEGREE OF A POLYNOMIAL WORKSHEET

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

Problem 1 :

3

Solution

Problem 2 :

-p+ 2

Problem 3 :

6x- 2x3

Problem 4 :

5n- n- 2

Problem 5 :

-2p+ 10p6 + 5p2

Problem 6 :

9m + 5m+ 10m- 5

Problem 7 :

8n- n3 + 7n

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

 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

1)

Degree = 3

The function is a polynomial function.

2)  It is not a polynomial function

3)  Not a polynomial

4)

The function is a polynomial function.

Degree = 4

5) Not a polynomial

6)

Degree = 1

7)

The function is a polynomial function.

Degree = 5

8)

The function is a polynomial function.

Degree = 0

9)  It is not a polynomial function

10)

Degree = 2

## 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