State Whether Each Expression Is a Polynomial. If It Is, Identify What Type of Polynomial It Is

Laws of Exponents

SOL: A1.2a

Name______Date______

State whether each expression is a polynomial. If it is, identify what type of polynomial it is.

______

Some monomials have exponents. For example, is read as ______.

X would be the ______of the term and 2 would be the ______.

State the base and exponent for each monomial.

The base is ______The base is ______

The exponent is ______The exponent is ______

Exponents means ______.
For example, 4³ means to multiply ______by ______.

So, .

Note it is not the same as which equals ______.

Expand the following monomials and simplify to a number if possible.

= ______y³ = ______

There are two types of rules to remember when multiplying monomials.

1. ______2. ______

Multiplying Rule: When multiplying monomials, ______

______

Keep in mind that a monomial can be a number, a variable, or the product of numbers and variables.

When multiplying monomials, ______

NUMBERS / VARIABLES / PRODUCT OF NUMBERS AND VARIABLES
2 (4) = ______/ ()()
What part of the rule should be applied?
______
()() = ( ) = / ()()
What part of the rule should be applied?
______
______
= ____
()() = ( )=

25 3 = ______/ ()()()
Apply the same rule as above but only to
______
()()()
=
= / ()()
What part of the rule should be applied?
______
______
= ____
= ( )
=

When multiplying monomials, the exponents are added together. However, if any
exponent(s) are located outside the parenthesis, ______

______

NUMBERS / VARIABLES / PRODUCT OF NUMBERS AND VARIABLES
3(5)²
= 3(_____)(_____)
= _____ /
What exponent is outside the parenthesis? __
Expand the monomial ______the parenthesis by the exponent directly
______the parenthesis.
=
=
= /
Remember to ONLY expand the monomial ______the parenthesis by the exponent directly outside the parenthesis.
=
=
=
=

Try one on your own: . Remember to show all steps.