Multiplication of Algebraic Expressions
Polynomials:
Algebraic expressions with their variables having whole numbers as exponents or powers are called polynomials.

Some possibilities while multiplying polynomials
     •  Monomial ×  Monomial
     •  Monomial × Binomial
     •  Monomial × Trinomial
     •  Binomial × Binomial
     •  Binomial × Trinomial

The product of monomials is equal to the product of their coefficients multiplied by the product of their variables.

Product of Monomials = Product of Coefficients x Product of Variables. 

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Steps to multiply polynomials
1. Apply the distributive law to reduce the multiplication of expressions to products of monomials.
2. Add the powers of the variable, if a variable is multiplied with itself.
3. Add the like terms in the product.

Distributive law: a x (b + c) = (a x b) + (a x c)

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Summary

Polynomials:
Algebraic expressions with their variables having whole numbers as exponents or powers are called polynomials.

Some possibilities while multiplying polynomials
     •  Monomial ×  Monomial
     •  Monomial × Binomial
     •  Monomial × Trinomial
     •  Binomial × Binomial
     •  Binomial × Trinomial

The product of monomials is equal to the product of their coefficients multiplied by the product of their variables.

Product of Monomials = Product of Coefficients x Product of Variables. 

monomials, product of monomials, coefficients, variables, product of coefficients, product of variables

Steps to multiply polynomials
1. Apply the distributive law to reduce the multiplication of expressions to products of monomials.
2. Add the powers of the variable, if a variable is multiplied with itself.
3. Add the like terms in the product.

Distributive law: a x (b + c) = (a x b) + (a x c)

multiplication of monomial with binomial, multiplication of monomial with trinomial, multiplication of binomials, monomial, binomial, trinomial, distributive law



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