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Multiplication of Algebraic Expressions

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Multiplication of Algebraic Expressions - Lesson 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. 



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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