DECK 3: INTRO TO POLYNOMIAL TERMINOLOGY Flashcards
What is polynomial?
An expression with terms that have POSITIVE INTEGER exponents on the variables
What is the DEGREE of a term?
The exponent (or sum of exponents if more than one variable).
What is the degree of this term?
5x
one
(because it can be written as 5x1)
What is the degree of this term?
3x4
four
What is the degree of this term?
7
zero
(It can be written as 7x0)
remember: anything raised to the zero power is 1
What is the degree of this term?
9x3
three
What is another way to write or to think of “7x?”
(with an exponent)
7x1
What is another way to write or to think of “5” to help you remember it has zero degrees?
(with an exponent)
5x0
what is another way to write 6x0?
6
(because x0=1)
what is another way to write 9x1 ?
9x
(you generally don’t write and exponent of 1)
What is the DEGREE of a polynomial?
The degree of the HIGHEST term.
What is the degree of this polynomial:
4-3x2-6x5 + 2x8
8
8 is the highest degreed term
What is the degree of this polynomial:
7x-1
one
What is the degree of this polynomial:
2x-2-3x+4x3
NOT A POLYNOMIAL
You can’t have negatives or fractions for exponents
A zero degree polynomial or term is called a _____.
example: 5
Constant
A first degree polynomial or term is called___
example: 3x
linear
A second degree polynomial is called _____
example: 5x2 -3x+ 6
quadratic
A third degree polynomial is called___
example: 6x3- 2x2- 8
cubic
A fourth degree polynomial or term is called _____
example: 3x4
quartic
A fifth degree polynomial is called _____
example: 3x5
quintic
(KWINTIC)
Does a cubic polynomial have thee terms?
Not necessarily. It has a highest exponent of three.
It can have one, two, or three + terms.
How do you know how many terms?
Count them
What is the “STANDARD” form of polynomials?
PUT THEM IN ORDER - List the terms (L to R) from highest degree to lowest degree
What degree is a cubic polynomial
third degree
Where does word “quadratics?” come from?
from latin “quadrus” which means SQUARE
Why is it called a “linear” term
alone its graph would be a straight line
why is it called a constant term
alone it would be a constant function.. The same height always. a horizontal line with a constant y, a constant height
Why is it called the “quadratic” term?
because it is SQUARED… quadrus:square.