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}
3x6
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}
3x6
2x
^{2}
 x 10
300
Multiply the following polynomials
f(x)= x
^{3}
g(x)=2x
^{2}
+3x2
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 nonnegative 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}
+3x4
g(x)=2x+6
2x
^{3}
+12x
^{2}
+26x24
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}
+3x4
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
Team 1
0
+

Team 2
0
+

Team 3
0
+

Team 4
0
+

Team 5
0
+

Team 6
0
+

Team 7
0
+

Team 8
0
+

Team 9
0
+

Team 10
0
+

Team 11
0
+

Team 12
0
+

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ESC
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Polynomials and Combining Functions
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