Guided Notes: Multiplying/Dividing Polynomials
2009 SOL A1.2ab
Name_______________________________________________________________
Recall a monomial is a term with just _____________________, a ____________________, or the
__________________________________________________________________________________.
A BINOMIAL is the sum or difference of ________________________________________________.
A TRINOMIAL is ____________________________________________________________________.
MULTIPLYING POLYNOMIAL can be represented several different ways.
Monomials x Binomial
Monomial x Trinomial
Binomial x Binomial
Binomial x Trinomial
When multiplying polynomials use the _________________ to completely simplify each expression.
MONOMIALS X BINOMIALS was reviewed in your warm-up so let’s skip to
MONOMIALS X TRINOMIALS
2x (x – y + 5)
-xy²(x² - 2x + 4)
BINOMIALS X BINOMIALS
(x + 3)(x + 7)
Combine all like
terms in the box for
your final answer
Guided Notes: Multiplying/Dividing Polynomials
2009 SOL A1.2ab
(3x – 5)(5x + 2)
Combine all like
terms in the box for
your final answer
(2x + 1)(2x – 1)
Notice when
combining like terms
some terms
eliminate.
SPECIAL BIONOMIALS
The binomial below is being squared. Remember, when anything is raised to a power, _____________
_____________________
(x - 3)²
_____________________
_____________________
BINOMIALS X TRINOMIALS
(2x + 1)(x² - 3x + 4)
Combine all like
terms in the box for
your final answer
Guided Notes: Multiplying/Dividing Polynomials
2009 SOL A1.2ab
(2x – 5)(x² - 5x + 4)
Combine all like
terms in the box for
your final answer
DIVIDING POLYNOMIALS
1. When dividing polynomials, rewrite the expression by breaking it up based on
_________________________________________________________________________
2. After breaking up the expression, simplify each _______________________________
Problem
𝟏𝟎𝒙 + 𝟔
𝟐
Break up
Simplify
The final answer is _______________________________.
Problem
𝟏𝟓𝒚𝟑 + 𝟔𝒚𝟐 − 𝟑𝒚
𝟑𝒚
Break up
The final answer is _______________________________.
Simplify
Guided Notes: Multiplying/Dividing Polynomials
2009 SOL A1.2ab
Sometime division can be expressed like x 2 2x 2  32 . Rewrite the problem as a fraction and solve like
normal.
Problem
Rewrite
Break up
Simplify
Break up
Simplify
x 2 2x 2  32
Problem
2x2 x5  6 x4  2x
Rewrite