November 19 th 2015 MONOMIAL A monomial with variable x is the product of a real number by an nonnegative integer power of x A polynomial with just one term Mono meaning one Degree ID: 491586
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Slide1
Monomials
November 19
th
2015 Slide2
MONOMIAL
A monomial with variable x is the product of a real number by an non-negative integer power of x.Slide3
A polynomial with just one term.
Mono – meaning one! Slide4Slide5
Degree
The degree of the monomial is the sum of the exponents of
all included variables. Constraints have the monomial
degree of 0.
Let’s look at some examples below: Slide6
Examples:
1)
2)
3)Slide7
Monomial Operations
Addition and SubtractionSlide8
Addition and Subtraction:
The same rules apply to adding and subtracting monomials that
apply
to
integers. We
also call this "combining" monomials.
We can only combine terms that are exactly alike
!
In
other words, the variables
,
if any, must be exactly the same.
If
one term's variable has an exponent and
the other
does not, they are not like
terms
.
Examples
of like terms are
:
Examples of not like terms:
5x
and -
7x 6x
and -
4y
-
4p and
9p 2ab
and
3cd
-
3y² and -y
²
8x and -9x
²
10
and -
14Slide9
Examples:
5x – 7x =
3y + 6y =
– 4p + 9p =
- 5x + 3x – 8x – x = Slide10
Multiplying Monomials
Group variables by exponent and coefficients.
Remember to add your exponents!
Example:
(5x)(
3x
2
y
)Slide11
REMINDER:Slide12
Dividing
1. Divide your coefficients
2. Because you have the same base,
you
simply subtract
the exponents.
Example #1Slide13
Example #2: