Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Dividing Polynomial by Monomial

Practice the questions given in the worksheet on dividing polynomial by monomial. The questions are based on dividing each term of the polynomial by the monomial and then simplify.

1. Divide a polynomial by a monomial:

(i) (m2 – 2mn) ÷ m

(ii) (3 – 3z2 + z) ÷ z

(iii) (k6 – 7k5 + 4k4) ÷ k2

(iv) (10y7 – 8y6 + 3y4) ÷ y3

(v) (15u5 – 25u4) ÷ (-5u3)

(vi) (27b6 – 36b5) ÷ 9b5

(vii) (-24c6 – 32c4) ÷ (-8c3)

(viii) (34m3n2 – 51m2n3) ÷ 17mn


2. Simplify the following polynomial divided by monomial:

(i) 6x3 + 8x2 + 4x by 2x

(ii) 4a3 + 20a2 + 16a by 4a

(iii) 38m3 – 19m2 + 57m by 19m

(iv) -5z6 + 6z4 + z2 + 4 by 2z2

(v) 10m2n – 15mn – 25mn2 by (-2/5)mn

(vi) 21a3b3 + 35a4b2 – 56a2b4 by -7a2b2


3. Divide the following polynomial by monomial and write the answer in simplest form:

(i) 7x3 – 35x2 + 49x by 7x

(ii) 18u2v2 – 3uv2 + 9uv3 by 3uv

(iii) 8m2n – 5mn2 – 20mn by (1/4)mn

(iv) a4 - 3a3 + (1/2)a2 by 3a

(v) –t4 + t2 by √3t2


Answers for the worksheet on dividing polynomial by monomial are given below to check the exact answers of the above questions on division of a polynomial by a monomial.


Answers:


1. (i) m – 2n

(ii) z2 - 3z + 1

(iii) k4 – 7k3 + 4k2

(iv) 10y4 – 8y3 + 3y

(v) 3u2 + 5u

(vi) 3b – 4

(vii) 3c3 + 4c

(viii) 2m2n – 3mn2



2. (i) 3x2 + 4x + 2

(ii) a2 + 5ac + 4

(iii) 2m2 – m + 3

(iv) (-5/2)z4 + 3z2 + 1/2 + 2/z2

(v) -25m + (125/2)n + 75/2

(vi) -5a2 - 3ab + 8b2



3. (i) x2 – 5x + 7

(ii) 6uv – v + 3v2

(iii) 32m - 20n - 80

(iv) a3/3 – a2 + (1/6)a

(v) –t2/√3 + 1/√3






7th Grade Math Problems

Math Homework Sheets

From Worksheet on Dividing Polynomial by Monomial to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. How to Divide Decimals? | Dividing Decimals by Decimals | Examples

    May 06, 25 01:23 AM

    Dividing a Decimal by a Whole Number
    Dividing Decimals by Decimals I. Dividing a Decimal by a Whole Number: II. Dividing a Decimal by another Decimal: If the dividend and divisor are both decimal numbers, we multiply both the numbers by…

    Read More

  2. Multiplying Decimal by a Whole Number | Step-by-step Explanation|Video

    May 06, 25 12:01 AM

    Multiplying decimal by a whole number is just same like multiply as usual. How to multiply a decimal by a whole number? To multiply a decimal by a whole number follow the below steps

    Read More

  3. Word Problems on Decimals | Decimal Word Problems | Decimal Home Work

    May 05, 25 01:27 AM

    Word problems on decimals are solved here step by step. The product of two numbers is 42.63. If one number is 2.1, find the other. Solution: Product of two numbers = 42.63 One number = 2.1

    Read More

  4. Worksheet on Multiplying Decimals | Product of the Two Decimal Numbers

    May 05, 25 01:05 AM

    Practice the math questions given in the worksheet on multiplying decimals. Multiply the decimals to find the product of the two decimal numbers, same like multiplying whole numbers.

    Read More

  5. Multiplication of a Decimal by 10, 100, 1000 | Multiplying decimals

    May 05, 25 12:23 AM

    Multiplication of a Decimal by 10, 100, 1000
    The working rule of multiplication of a decimal by 10, 100, 1000, etc... are: When the multiplier is 10, 100 or 1000, we move the decimal point to the right by as many places as number of zeroes after…

    Read More