CLASSIFYING POLYNOMIALS WORKSHEET

Classify each polynomial according to its degree and number of terms. 

Problem 1 : 

5x

Problem 2 : 

3x + 2

Problem 3 : 

x² + x + 4

Problem 4 : 

5x³ - x² + 5x - 1

Problem 5 : 

2x⁷ - 9x⁵ - 5x² - x + 3

Problem 6 : 

20y + 4y³ - 2 + y²

Problem 7 : 

5x - 17x⁶

Problem 8 : 

x - 9 + √7x³ + 6x²

Problem 9 : 

√2x² - (7/2)x⁵ + x - 5x³

Problem 10 : 

y² - √5y³ - 11 - (7/3)y + 9y⁴

Detailed Answer Key

Classify each polynomial according to its degree and number of terms. 

Problem 1 : 

5x

Solution : 

Degree : 1

Terms : 1

(5x) is a linear monomial. 

Problem 2 : 

3x + 2

Solution : 

Degree : 1

Terms : 2

(3x + 2) is a linear binomial. 

Problem 3 : 

x² + x + 4

Solution : 

Degree : 2

Terms : 3

(x² + x + 4) is a quadratic trinomial. 

Problem 4 : 

5x³ - x² + 5x - 1

Solution : 

Degree : 3

Terms : 4

(5x³ - x² + 5x - 1) is a cubic polynomial. 

Problem 5 : 

2x⁷ - 9x⁵ - 5x² - x + 3

Solution : 

Degree : 7

Terms : 5

(2x⁷ - 9x⁵ - 5x² - x + 3) is a 7^th degree polynomial. 

Problem 6 : 

20y + 4y³ - 2 + y²

Solution : 

Degree : 3

Terms : 4

(20y + 4y³ - 2 + y²) is a cubic polynomial. 

Problem 7 : 

5x - 17x⁶

Solution : 

Degree : 6

Terms : 2

(5x - 17x⁶) is a 6^th degree binomial. 

Problem 8 : 

x - 9 + √7x³ + 6x²

Solution : 

Degree : 3

Terms : 4

(x - 9 + √7x³ + 6x²) is a cubic polynomial. 

Problem 9 : 

√2x² - (7/2)x⁵ + x - 5x³

Solution : 

Degree : 4

Terms : 4

(√2x² - (7/2)x⁴ + x - 5x³) is a quintic polynomial. 

Problem 10 : 

y² - √5y³ - 11 - (7/3)y + 9y⁴

Solution : 

Degree : 4

Terms : 5

(y² - √5y³ - 11 - (7/3)y + 9y⁴) is a quartic polynomial. 

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