Division of Algebraic Expressions
Division of Algebraic Expressions is the opposite process of multiplication.
In algebra, the division is similar to the division done in arithmetic.
In division of Algebraic-Expressions, we use the laws of exponents.
There are different types of division.
1) Monomial by monomial.
2) Polynomial by monomial.
3) Polynomial by binomial.
While dividing a monomial by a monomial, we follow the following two rules :
• The coefficients of the quotient of two monomials is equal to the quotient of their coefficients.
• The variable part in the quotient of two monomials is equal to the quotient of the variables in the given monomials.
Division of a monomial by a monomial
1) 10x
7 ÷ 2x
4
Solution :
= 10x
7/ 2x
4
= ( 10/2)x
7-4
= 5x
3
2) x
4÷ x
4
Solution :
= x
4/ x
4
= x
4-4
= x
0 = 1
3) -100a
3÷20a
Solution :
= -100a
3/ 20a
= (-100/20)a
3-1
= -5a
2
4) 5m
3÷√5 m
Solution :
= 5m
3/√5 m
= (5/√5)m
3-1
=√5m
2
5) Divide 24x
2y
2z
2 by 6yz.
Solution :
= 24x
2y
2z
2/6yz
= (24/6)x
2y
2 -1z
2-1
= 4x
2yz
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Practice Problems
1) Divide by x
6 by x
2 monomials.
(Ans)
2) Divide by 25y
5 by 5y
4 monomials.
(Ans)
3) Divide by -200x
3 by 100x monomials.
(Ans)
4)Divide by 25a
3b
3 by 5ab monomials.
(Ans)
5) Divide by 16 a
2b
2 by 4a
3b
3 monomials.
(Ans)
6) Divide by 30 by 4a
3b
3 monomials.
(Ans)
Division of Algebraic Expressions
• Division of Polynomial by Monomial
• Division of Polynomial by Binomial
Algebraic Expression Page
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