WRITING POLYNOMIALS IN STANDARD FORM WORKSHEET

Express each polynomial in standard form. Also, state the degree of the polynomial.

Problem 1 :

-1 + 2m2 – 3n

Solution

Problem 2 :

5p2q + p6 – q4 + q3r2 – 9 + 7p

Solution

Problem 3 :

7u2 – 4v + u2v + 2

Solution

Problem 4 :

-g4 + 6g2 – g – 8 – g5

Solution

Problem 5 :

-6t + 9 – 5t4 – 3t3

Solution

Problem 6 :

3uw2 + 1 + 4u – v2

Solution

Problem 7 :

x2 – 3x2y + xy3z

Solution

Problem 8 :

-7b + 2ab

Solution

Problem 9 :

q3 – 9q2r + 4r2s2 + q – r2

Solution

Problem 10 :

w3 + 8w – w2

Solution

Answer Key

1)  2m2 – 3n – 1, degree is 2.

2)  p6 + 5p2q + 7p – q4 + q3r2 – 9, degree is 6.

3)  7u2 + u2v – 4v + 2, degree is 2.

4)  -g5 – g4 + 6g2 – g – 8, degree is 5.

5)  -5t4 – 3t3 – 6t – 9, degree is 4.

6)  4u + 3uw2 – v2 – 1, degree is 2.

7)  x2 – 3x2y + xy3z, degree is 3.

8)  2ab – 7b, degree is 1.

9)  q3 – 9q2r + q – r2 + 4r2s2, degree is 3.

10)  w3 + 8w – w2degree is 3.

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 :

3m5

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

Answer Key

1)  4

2)  6

3)  3

4)  2

5)  5

6)  7

7)  8

8)  4

9)  6

10)  10

11)  9

12)  11

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More