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 :

-p² + 2

Solution

Problem 3 :

6x⁴ - 2x³

Solution

Problem 4 :

 5n⁴ - n² - 2

Solution

Problem 5 :

-2p⁴ + 10p⁶ + 5p²

Solution

Problem 6 :

9m + 5m² + 10m³ - 5

Solution

Problem 7 :

8n² - n³ + 7n

Solution

Write the degree of each polynomial.

Problem 1 :

3x⁴ + 2xyz + 5x² - 4

Solution

Problem 2 :

-6s²tu³ + st + tu² + st³u + t³

Solution

Problem 3 :

-d² - d – 9d³

Solution

Problem 4 :

uv + 4u

Solution

Problem 5 :

6u² + u²vw – 2u³vw + 4u³

Solution

Problem 6 :

3m⁵n²

Solution

Problem 7 :

p²q³r³ - p⁴qr² + 7 + qr + p⁶q

Solution

Problem 8 :

-8a² + abc + b²c² + ab

Solution

Problem 9 :

x – x⁶ + x² + x³ - x⁵

Solution

Problem 10 :

4r⁴ + r³s⁴t³ - r²s³t + t⁶ + 3

Solution

Problem 11 :

-q³rs² + 3 – q⁷r² + r²s⁴

Solution

Problem 12 :

w⁴xy⁵ – w⁶xy³ + 9w⁴x⁵y²

Solution

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

Solution

Problem 3 :

h(x) = √(9x⁴ + 16x²)

Solution

Problem 4 :

k(x) = 15x – 2x⁴

Solution

Problem 5 :

f(x) = 3x^-5 + 17

Solution

Problem 6 :

f(x) = -9 + 2x

Solution

Problem 7 :

f(x) = 2x⁵ – 1/2x + 9

Solution

Problem 8  :

f(x) = 13

Solution

Problem 9 :

h(x) = (27x³ + 8x⁶)

Solution

Problem 10 :

k(x) = 4x – 5x²

Solution