Polynomial Properties
The degree of x2-4x3+2x-7
What is 3?
This is the form of the factor that is needed to use Synthetic Division.
What is (x - c)?
The value of i4
What is 1?
The domain of (2x + 4) / (3x - 2).
What is (negative infinity, 2/3) U (2,3 positive infinity)?
The leading coefficient of x2-4x3+2x-7
What is -4?
What is -1/(x-2)?
These are the possible rational roots of g, when g(x) = 3x5 - 4x4 + 2x2 - 4.
What are plus/minus 1/3, 2/3, 1, 4/3, 2, and 4?
The vertical asymptote(s) of (x + 3) / (x2 + 3x - 10).
What is x = -5 and x = 2?
If f(x) = 3x2 − 5x + 2 and g(x) = −2x + 10, this is f(x) times g(x).
What is -6x3+40x2-54x+20?
The remainder of f(x) = x3 + 3x2-10x-24 when it is divided by x - 2.
What is -24?
The product of (3 - 5i)(7 + 2i).
What is 31 - 29i?
The horizontal asymptotes of (3x2) / (x2 + 1)
What is y = 3?
Let f(x)=(x - 3)2(x + 4)(x - 5)5. These are the zeros plus their multiplicities.
What is x = 3, multip. 2; x = -4, multip. 1; and x = 5; multip. 5
Considering (x-3) or (x+1), this is a factor of f(x) = x3 + 3x2-10x-24.
What is (x - 3)?
All of the zeros and their multiplicities of f(x) = x3 - x2 - 5x - 3.
What are -1 (multip. 2) and 3 (multip 1)?
The horizontal and vertical asymptotes of (x - 4) / (x + 2).
Using the information from Practice Problem 3 on your worksheet, this is a reasonable guess as to the equation of the polynomial shown on the graph.
What is f(x) = (x + 4)2(x - 1)(x - 5)2?
The quotient and remainder when you take 2x4 - 3x3 - x + 1 divided by x - 3.
What is 2x3+3x2+9x+26 remainder 79?
An expression for f with all real numbers that is a degree 3 polynomial and has zeros at 1 and 2 - i.
What is f(x) = (x - 1)(x2 - 4x + 5)?
The sketch of the graph of y = (x - 4) / (x + 2).
What is... see the board!