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) (m
2 – 2mn) ÷ m
(ii) (
3 – 3z
2 + z) ÷ z
(iii) (k
6 – 7k
5 + 4k
4) ÷ k
2
(iv) (10y
7 – 8y
6 + 3y
4) ÷ y
3
(v) (15u
5 – 25u
4) ÷ (-5u
3)
(vi) (27b
6 – 36b
5) ÷ 9b
5
(vii) (-24c
6 – 32c
4) ÷ (-8c
3)
(viii) (34m
3n
2 – 51m
2n
3) ÷ 17mn
2. Simplify the following
polynomial divided by monomial:
(i) 6x
3 + 8x
2 + 4x by 2x
(ii) 4a
3 + 20a
2 + 16a by 4a
(iii) 38m
3 – 19m
2 + 57m by 19m
(iv) -5z
6 + 6z
4 + z
2 + 4 by 2z
2
(v) 10m
2n – 15mn – 25mn
2 by (-2/5)mn
(vi) 21a
3b
3 + 35a
4b
2 – 56a
2b
4 by -7a
2b
2
3. Divide the following polynomial by monomial
and write the answer in simplest form:
(i) 7x
3 – 35x
2 + 49x by 7x
(ii) 18u
2v
2 – 3uv
2 + 9uv
3 by 3uv
(iii) 8m
2n – 5mn
2 – 20mn by (1/4)mn
(iv) a
4 - 3a
3 + (1/2)a
2 by 3a
(v) –t
4 + t
2 by √3t
2
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) z
2 - 3z + 1
(iii) k
4 – 7k
3 + 4k
2
(iv) 10y
4 – 8y
3 + 3y
(v) 3u
2 + 5u
(vi) 3b – 4
(vii) 3c
3 + 4c
(viii) 2m
2n – 3mn
2
2. (i) 3x
2 + 4x + 2
(ii) a
2 + 5ac + 4
(iii) 2m
2 – m + 3
(iv) (-5/2)z
4 + 3z
2 + 1/2 + 2/z
2
(v) -25m + (125/2)n + 75/2
(vi) -5a
2 - 3ab + 8b
2
3. (i) x
2 – 5x + 7
(ii) 6uv – v + 3v
2
(iii) 32m - 20n - 80
(iv) a
3/3 – a
2 + (1/6)a
(v) –t
2/√3 + 1/√3
7th Grade Math Problems
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