# 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.

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

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.

## Recent Articles

1. ### Decimal Place Value Chart |Tenths Place |Hundredths Place |Thousandths

Jul 19, 24 03:26 PM

Decimal place value chart are discussed here: The first place after the decimal is got by dividing the number by 10; it is called the tenths place.

2. ### Definition of Decimal Numbers | Decimal Part | Decimal Point |Examples

Jul 19, 24 11:13 AM

Definition of decimal numbers: We have learnt that the decimals are an extension of our number system. We also know that decimals can be considered as fractions whose denominators are 10, 100, 1000

3. ### Addition and Subtraction of Fractions | Solved Examples | Worksheet

Jul 19, 24 02:00 AM

Addition and subtraction of fractions are discussed here with examples. To add or subtract two or more fractions, proceed as under: (i) Convert the mixed fractions (if any.) or natural numbers

4. ### Fractions in Descending Order |Arranging Fractions an Descending Order

Jul 19, 24 02:00 AM

We will discuss here how to arrange the fractions in descending order. Solved examples for arranging in descending order: 1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order. First…

5. ### Fractions in Ascending Order | Arranging Fractions | Worksheet |Answer

Jul 19, 24 01:59 AM

We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. Arrange the following fractions 5/6, 8/9, 2/3 in ascending order. First we fi…