Polynomial Facts
Name Polynomials
Adding Or Subtracting Polynomials
Arithmetic Sequences
Inverse functions
100

The highest exponent on an x in a polynomial is called the _________ of the polynomial. It also has the letter "n" in the general form.

What is the degree

100

Create a polynomial with a degree of 3, a leading coefficient of 2, and a constant of -6

2x3+???-6

100

Add the following polynomials

f(x) = 3x2

g(x) = 4x

3x2+ 4x

100

Name the common difference

-25, -20, -15, -10, ... 

What is +5?

100

Name the inverse of the point (10, -3)

What is (-3, 10)?

200

The number in front of a variable is called the ________.

What is the coefficient?

200

A second degree polynomial is also called a ___?

What is a Quadratic (or parabola).

200
Subtract f(x)-g(x)
f(x) = 3x2-2x+4
g(x) = x2-3x-6
2x2 + x + 10
200

Is the sequence arithmetic?

65, 72, 79, 86, ...

Yes

200

Name the inverse of the two points

(8, 24)

(-7, 45)

What are (24, 8) and (45,-7)?

300

The number with no variable attached is called the ________.

What is the constant?

300

Name the polynomial

10x3 - 2x

What is a cubic binomial?
300
Subtract g(x)-f(x)
f(x) = 3x2-2x+4
g(x) = x2-3x-6
-2x2 - x -10
300

Find the next three terms of the sequence.

12, 15, 18, 21, ...

24, 27, 30

300

The symbol for an inverse function

What is f-1(x)?

400

Polynomials cannot have _________ or __________ exponents.

What is negative or fractional?

400

Name the polynomial

5x+ 7x3 - 8x2 

What is a 4th degree trinomial?

400
Add the following polynomials:
f(x) = 5x5 + 3x2 - 4
g(x) = 3x4 +2x2 - 2x
5x5 + 3x4 + 3x2 -2x - 4
400

Is the sequence arithmetic?

22, 26, 28, 32, ...

No

400

You can tell that functions are inverses by their graphs if...

They are inverses if they reflect across y=x

500

Name the operations that can happen in a polynomial. 

What are addition, subtraction, multiplication, and division except by a variable?

500

Name the polynomial

x + 45

Linear binomial

500
Subtract f(x)-g(x)
f(x) = 5x3 - 2x + 3
g(x) = 3x2 + 7x - 6
5x3 - 3x2 -9x + 9
500

Name the explicit formula of the sequence


10, 15, 20, 25

an = 10 + 5(n-1)

500

What is the inverse of the function y = 4x +10?

y = 1/4x -5/2

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