MBF3C – Quadratics II
Date: _________________________
Expanding Binomials
TERMINILOGY
Polynomial –
an algebraic expression made up of terms that are added
and subtracted
.
Term –
the product of a numerical coefficient and one or more variables.
Monomial –
a polynomial with
one
term.
Binomial –
a polynomial with
two
terms.
Trinomial –
a polynomial with
three
terms.
Review of Expanding
Expanding -
the process of multiplying terms together and collecting like terms
to simplify.
Distributive Property –
multiply the terms
i.e.
a ( b + c )
= ab + ac
Example
:
Simplify the following.
1.
2.
=12
x –
13
x +
3
y +
5
y
place like terms together
= -
x
+ 8
y
add / subtract like terms
=
(3
x
+ 4
y
) – 1(5
x
– 6
y
)
negative sign is a negative 1
=
(3
x
+ 4
y
) – 5
x
+ 6
y
distributive property
= 3
x
+ 4
y
– 5
x
+ 6
y
remove brackets
= -2
x
+ 10
y
collect like terms
MULTIPLYING BINOMIALS
Distributive property
O
F
F
first term
O
outside terms
I
inside terms
L
last terms
Examples
1.
(
x
+ 2) (
x
+ 4)
x
2
+ 4
x
+ 2
x
+ 8
x
2
+ 6
x
+ 8
2.
(
x
– 2) (
x
+ 4)
x
2
+ 4
x
– 2
x
– 8
x
2
+ 2
x
– 8
3.
(
x
– 2)(
x

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