Multiplication of Monomials and Polynomials
An algebraic expression consists of monomials, binomials, trinomials, and polynomials. Multiplication of monomials involves the product of both numerical coefficients and algebraic factors. The distributive law is applied in multiplying monomials with binomials. Understand the concepts and examples of multiplying different types of algebraic expressions to enhance your mathematical skills.
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Presentation Transcript
CLASS 8 MATHEMATICS - MODULE 02 TOPIC : MULTIPLICATION OF MONOMIAL TO MONOMIAL AND MONOMIAL TO TRINOMIAL
MONOMIAL, BINOMIAL, TRINOMIAL, AND POLYNOMIAL An algebraic expression having only one term is called monomial . For example 2x , 3y , 4z etc. If an expression having two unlike terms than the expression is called binomial . For example 7x+3y , - 2p+4q etc. Similarly if an algebraic expression having three unlike terms is called trinomial. For example -7p+9q+r , 2a+10b+5c etc. In general an algebraic expression having one or more terms is called polynomial. Thus monomial, binomial and trinomial all are polynomial.
MULTIPLICATION OF A MONOMIAL TO MONOMIAL : Example: 4x X 3xy = 4X3 ( product of numerical coefficients of both monomials ) X x X xy ( product of algebraic factor of both monomials) = 12 X xy = 12xy
MULTIPLICATION OF MONOMIAL TO BINOMIAL In multiplication of a monomial to binomial distributive law is used . Example : 2x X (a+b)= 2x X a + 2x X b ( Distributive property) = 2xa+2xb
