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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
2x
3
+???-6
100
Add the following polynomials
f(x) = 3x
2
g(x) = 4x
3x
2
+ 4x
100
Multiply the following two polynomials:
f(x)=x+3
g(x)=2x
2x
2
+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) = 3x
2
-2x+4
g(x) = x
2
-3x-6
2x
2
+ x + 10
200
Multiply these two polynomials
f(x)=x
2
+2
g(x)=x
2
-2
x
4
-4
200
f(x)=2x
2
g(x)=4x
Find g(g(x))
16x
300
The number with no variable attached, represented by a
0
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.
-3x
7
+???+6
300
Subtract g(x)-f(x)
f(x) = 3x
2
-2x+4
g(x) = x
2
-3x-6
-2x
2
- x -10
300
Multiply the following polynomials
f(x)= x
3
g(x)=2x
2
+3x-2
2x
5
+3x
4
-2x
3
300
f(x) = 3x
2
g(x) = x+6
Find f(g(x))
3x
2
+ 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) = 5x
5
+ 3x
2
- 4
g(x) = 3x
4
+2x
2
- 2x
5x
5
+ 3x
4
+ 3x
2
-2x - 4
400
Multiply the following polynomials
f(x)=x
2
+3x-4
g(x)=2x+6
2x
3
+12x
2
+26x-24
400
f(x) = 2x+2
g(x) = x
2
+ x
Find g(f(x))
4x
2
+ 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) = 5x
3
- 2x + 3
g(x) = 3x
2
+ 7x - 6
5x
3
- 3x
2
-9x + 9
500
Multiply the following polynomials
f(x)=2x
3
-4x+7
g(x)=x
2
+3x-4
See the answer on the board
500
f(x) = 5x+6
g(x) = x
2
h(x) = x
3
+ 2
Find f(g(h(x)))
5x
6
+ 20x
3
+ 26