Unit 4: Algebraic Expressions

  1. Monomials

– A monomial is the product of a number (coefficient) and one or more letters (variable)

-The degree of a monomial is the sum of the factors in its variable.

-Only like monomials can be added together. If monomials are not like, the addition sign must be left in the expression.

-Two monomials are like when they have the same literal part.

Product:

To multiply monomials you multiply the coefficients and the variables, following the rules for dealing with powers. The result is always a monomial.

  1. Polynomials

-A polynomial is the sum of two or more monomials. The monomials that comprise it are called terms. The degree of a polynomial is the term with the highest degree.

-To add two polynomials from the other, you add the opposite of the polynomial being subtracted.

BEAR IN MIND! – You obtain the additive inverse, or opposite of a polynomial by changing the sign of every term.

DON`T FORGET – If a set of brackets has a minus sign in front of it you need to change all of the signs inside the brackets.

Polynomial Products:

– To multiply a monomial by a polynomial, you multiply the monomial by each of the polynomial’s terms.

– To multiply two polynomials, you multiply each term in one polynomial by each term in the other, and then add the like monomials.

  1. Special Binomial Products

binomials

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