Polynomials
A polynomial is an expression that has no
operations other than addition, subtraction,
and multiplication by or of the variable(s).
Polynomials
A polynomial is an expression that has no
operations other than addition, subtraction,
and multiplication by or of the variable(s).
Examples of polynomials:
Polynomials
A polynomial is an expression that has no
operations other than addition, subtraction,
and multiplication by or of the variable(s).
Examples of polynomials:
Polynomials
A polynomial is an expression that has no
operations other than addition, subtraction,
and multiplication by or of the variable(s).
Examples of polynomials:
These expressions are not polynomials:
x+3
4x – 7
These expressions are not polynomials:
x+3
4x – 7
|n – 1|
These expressions are not polynomials:
x+3
4x – 7
|n – 1|
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
This polynomial has a degree of 2.
It is called a second degree
polynomial.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
This polynomial is written in
descending powers of x.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
This polynomial has three terms so
it is called a trinomial.
The degree of a polynomial with
one variable is the exponent of the
highest power of that variable.
This polynomial is a second degree
polynomial so it is called a
quadratic.
If there is no variable in a
term, then that term is
called the constant term.
The constant is -4.
The constant is -4.
The coefficient of the first term is
1.
The constant is -4.
The coefficient of the first term is
1.
The constant is -4.
The coefficient of the first term is
1.
The coefficient of the second term
is 3.
The degree of a polynomial with
more than one variable is the
highest sum of the exponents of one
of the terms.
The degree of a polynomial with
more than one variable is the
highest sum of the exponents of one
of the terms.
The degree of this polynomial is 3.
The degree of a polynomial with
more than one variable is the
highest sum of the exponents of one
of the terms.
The degree of this polynomial is 3.
This polynomial is in descending
powers of x and ascending powers
of y.
Some polynomials have special
names:
Some polynomials have special
names:
A polynomial with one term is a
monomial.
Some polynomials have special
names:
A polynomial with one term is a
monomial.
A polynomial with two terms is a
binomial.
Some polynomials have special
names:
A polynomial with one term is a
monomial.
A polynomial with two terms is a
binomial.
A polynomial with three terms is a
trinomial.
Some polynomials have special
names:
Some polynomials have special
names:
A polynomial with degree one is
linear.
Some polynomials have special
names:
A polynomial with degree one is
linear.
A polynomial with degree two is
quadratic.
Some polynomials have special
names:
A polynomial with degree one is
linear.
A polynomial with degree two is
quadratic.
A polynomial with degree three is
cubic.
Quadratic trinomial
Quadratic trinomial
Quadratic trinomial
Cubic binomial
Quadratic trinomial
Cubic binomial
Quadratic trinomial
Cubic binomial
Linear monomial
Quadratic trinomial
Cubic binomial
Linear monomial
Quadratic trinomial
Cubic binomial
Linear monomial
Quadratic binomial