Multiplying a Polynomial by a Monomial
 2a 2  3a  8b 2
 4x2  4x  3
 3x 2  9 x  8
P  x2  x  3
Multiplying a Polynomial by a Monomial
To find the area of this group of tiles, you could
multiply the length times the width: 2 x x  3
 

We already know by counting the tiles that the area of
2
the rectangle is:
2x  6x
Multiplying a Polynomial by a Monomial
The Distributive Property can be used
to multiply a polynomial by a
monomial.
Multiply a Polynomial by a Monomial
Find
Method 1 Horizontal
Distributive Property
Multiply.
Multiply a Polynomial by a Monomial
Find
Method 2 Vertical
Distributive Property
Multiply.
Answer:
Multiply a Polynomial by a Monomial
Find
Answer:
Multiplying a Polynomial by a Monomial
When expressions contain like terms,
simplify by combining the like terms.
Simplify Expressions
Simplify
Distributive
Property
Product of
Powers
Commutative
and Associative
Properties
Combine like
terms.
Answer:
Simplify Expressions
Simplify
Answer: