Polynomial Facts  Create Polynomials  Adding Or Subtracting Polynomials  Multiplying Polynomials  Quadratic Review 

100What is the degree
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.

1002x^{3}+???6
Create a polynomial with a degree of 3, a leading coefficient of 2, and a constant of 6

100
3x^{2}+ 4x
Add the following polynomials
f(x) = 3x^{2}
g(x) = 4x

100
2x^{2}+6x
Multiply the following two polynomials:
f(x)=x+3
g(x)=2x

100(x4)(x2)
Factor this quadratic:
x^{2}6x+8

200What is the leading coefficient
The coefficient (a) attached to the degree of a polynomial is called the ________ _________.

200What is a Quadratic (or parabola).
A second degree polynomial is also called a ? (We focused on these the last month.)

200
2x^{2} + x + 10
Subtract f(x)g(x)
f(x) = 3x^{2}2x+4
g(x) = x^{2}3x6

200
x^{4}4
Multiply these two polynomials
f(x)=x^{2}+2
g(x)=x^{2}2

2002
Simplify the following problem:
i^{6}i^{8}

300What is the constant
The number with no variable attached, represented by a_{0} in the general form is called the ________.

3003x^{7}+???+6
Create a polynomial with a degree of 7, a leading coefficient of 3, and a constant of 6.

300
2x^{2}  x 10
Subtract g(x)f(x)
f(x) = 3x^{2}2x+4
g(x) = x^{2}3x6

300
2x^{5}+3x^{4}2x^{3}
Multiply the following polynomials
f(x)= x^{3}
g(x)=2x^{2}+3x2

300(x+12)(x12)
Factor this quadratic
x^{2}144

400What is a nonnegative integer
n, also called the degree of a polynomial, can be what numbers?

400What is a straight line? (or Linear)
A polynomial of degree 1 or 0 is called a ?

400
5x^{5} + 3x^{4} + 3x^{2} 2x  4
Add the following polynomials:
f(x) = 5x^{5} + 3x^{2}  4
g(x) = 3x^{4} +2x^{2}  2x

400
2x^{3}+12x^{2}+26x24
Multiply the following polynomials
f(x)=x^{2}+3x4
g(x)=2x+6

400
324i
Simplify the following expression
(4+6i)(24i)

500What are real numbers
The coefficients of a polynomial can be any of what kind of numbers?

500y = 2
Create a polynomial of degree 0 with a leading coefficient of 2 and a constant of 2.

500
5x^{3}  3x^{2} 9x + 9
Subtract f(x)g(x)
f(x) = 5x^{3}  2x + 3
g(x) = 3x^{2} + 7x  6

500
See the answer on the board
Multiply the following polynomials
f(x)=2x^{3}4x+7
g(x)=x^{2}+3x4

500
x^{2}+7
Create a standard form quadratic from the roots:
Positive square root of 7i
Negative square root of 7i
