FIND DEGREE AND LEADING COEFFICIENT OF POLYNOMIALS WORKSHEET

For each polynomial, state the degree, the leading coefficient and the constant term.

Problem 1 :

2x3 + x2 - x + 3

Solution

Problem 2 :

x5 - x3 + x - 2

Solution

Problem 3 :

9x4 + x2

Solution

Problem 4 :

5 - 2x

Solution

Problem 5 :

7x6

Solution

Problem 6 :

5 - 2x + x2

Solution

Problem 7 :

9 - x2 + x4 - x6

Solution

Problem 8 :

3

Solution

Problem 9 :

x3 - 2x5

Solution

Problem 10 :

√3x2 + √2x + 1

Solution

Problem 11 :

5x3 + 3x4/2

Solution

Problem 12 :

x4/3 + x2/2 + 1/5

Solution

Answer Key

Question

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

11)

12)

Degree

3

5

4

1

6

2

6

0

5

2

4

4

Leading coefficient

2

1

9

-2

7

1

-1

3

-2

√3

3/2

1/3

Constant

3

-2

0

1

0

5

9

3

0

1

0

1/5

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

Answer Key

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

identify-polynomial-functions-and-their-degree

Solution

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