Polynomial Facts
Create Polynomials
Adding Or Subtracting Polynomials
Multiplying Polynomials
Composition of 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

Multiply the following two polynomials:
f(x)=x+3
g(x)=2x
2x2+6x

100

f(x)= 2x+3
g(x)= 4x+6
Find f(g(x))
8x+15

200

The coefficient (a) attached to the degree of a polynomial is called the ________ _________.
What is the leading 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

Multiply these two polynomials
f(x)=x2+2
g(x)=x2-2
x4-4

200

f(x)=2x2
g(x)=4x
Find g(g(x))
16x

300

The number with no variable attached, represented by a0 in the general form is called the ________.
What is the constant

300

Create a polynomial with a degree of 7, a leading coefficient of -3, and a constant of 6.
-3x7+???+6

300

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

300

Multiply the following polynomials
f(x)= x3
g(x)=2x2+3x-2
2x5+3x4-2x3

300

f(x) = 3x2
g(x) = x+6
Find f(g(x))
3x2 + 36x + 108

400

n, also called the degree of a polynomial, can be what numbers?
What is a non-negative integer

400

A polynomial of degree 1 or 0 is called a ?
What is a straight line? (or Linear)

400

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

400

Multiply the following polynomials
f(x)=x2+3x-4
g(x)=2x+6
2x3+12x2+26x-24

400

f(x) = 2x+2
g(x) = x2 + x
Find g(f(x))
4x2 + 10x + 6

500

The coefficients of a polynomial can be any of what kind of numbers?
What are real numbers

500

Create a polynomial of degree 0 with a leading coefficient of 2 and a constant of 2.
y = 2

500

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

500

Multiply the following polynomials
f(x)=2x3-4x+7
g(x)=x2+3x-4
See the answer on the board

500

f(x) = 5x+6
g(x) = x2
h(x) = x3 + 2
Find f(g(h(x)))
5x6 + 20x3 + 26