Polynomial Functions Flashcards
Is this a polynomial f(x) = sinx ?
No because it is a trig/periodic functions
Is this a polynomial f(x) = 2^x
No because it is an exponential function.
What are complex zeros
Zeros that are off the line
What is the order of the factor (x-3) in the equation (x-3)(x-4)?
Order of (x-3) is 1.
What is the order of the factor (x+1)^2 in the equation (x+1)^2?
Order of (x+1) is 2.
What is the order of the factor (x-2)^3 in the equation (x-2)^3?
Order of (x-2) is 3.
What is the degree of the polynomial y = (x+2)(x-3)^2?
Degree is 3.
What are the x-intercepts of the polynomial y = 0.25(x+3)(x-2)(x-5)?
x-intercepts are x = -3, 2, 5.
What is the degree of the polynomial y = -(x+3)(x-2)(x-4)^2?
Degree is 4.
What is the shape of the graph near the intercept at x=1 for the polynomial y = (x+1)^2(x-2)?
The graph touches and turns at x=1 (order 2).
What is the shape of the graph near the intercept at x=1 for the polynomial y = (x-1)^3(x+4)?
The graph flattens and twists at x=1 (order 3).
How many zeros can a even degree function have?
May have up too degree number of zeros but can also have none.
How many zeros can a odd degree polynomial function have?
May have odd degree number of zeros but requires atleast one.
How many turning Points can a polynomial function have?
Can have n-1 number of turning points where n is the degree of the function.
What are the equations for applying transformations
ay + c | x/k + d
When doing long division what do you gotta make sure to do.
Make the equation have all place values and place awnser is respective place values.
Wht do you need for synthetic division
(X-k) and the coefficients of all the terms, then you do the cart and turn the degree down by one.
Whats a fast way to check the reminder of a polynomial question
F(k)
