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

100

What 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.

100

2x3+???-6
Create a polynomial with a degree of 3, a leading coefficient of 2, and a constant of -6

100

3x2+ 4x
Add the following polynomials f(x) = 3x2 g(x) = 4x

100

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

100

(x-4)(x-2)
Factor this quadratic: x2-6x+8

200

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

200

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

200

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

200

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

200

-2
Simplify the following problem: i6-i8

300

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

300

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

300

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

300

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

300

(x+12)(x-12)
Factor this quadratic x2-144

400

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

400

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

400

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

400

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

400

32-4i
Simplify the following expression (4+6i)(2-4i)

500

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

500

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

500

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

500

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

500

x2+7
Create a standard form quadratic from the roots: Positive square root of 7i Negative square root of 7i

Polynomials and Combining Functions

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