After degree three we usually just refer to the polynomial as n-th degree, ie
4th degree, 5th degree,
We generally will write polynomials in descending order in terms of degree.
EX 3. For example we would write x + 6x2 + 2x3 - 1 as
2x3 + 6x2 + x - 1
Where we start with the highest degree term and continue in descending order.
5.1.1 Polynomial Functions
Polynomials can also be written as function (using function notation).
EX 4. The following are polynomial functions.
• f(x) = x2 + 3x + 2
• P(x) = 2x3 - 3x2 + x - 7
When written as a function, we can graph polynomials.
EX 5. -
1. Graph y = x2
The graph we get is called a parabola. All quadratic
polynomials have parabolas as graphs.
In this case the parabola opens upwards. Whenever the leading coefficient is
parabola opens upwards.
2. Graph y = -x2
We notice that we now have a negative leading coefficient
and the parabola opens downwards.
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