Polynomial Functions
End Behavior
Vocabulary
Synthetic Division
Complex Roots
100
x^4+3x^2+1 is an example of an even or odd degree ?
What is an Even degree
100
The lowest point in a particular section of a graph, function, or relation.
What is Relative Minimum ?
100
3x^3-2x^2-7x+6 divided by (x+1)
What is 3x^2-5x-2+8/x-1
100
x3 +3x2-22x+12 root is 3,___,___
What is 3, .606, -6.606
200
This is an example of which Polynomial Function? https://i.ytimg.com/vi/-LJ5Bt8UwCo/maxresdefault.jpg
What is Cubic
200
(x+3)^3(X+2) is an example of a positive or negative leading coefficient?
What is Positive
200
The highest point over the entire graph, function, or relation
What is Absolute Maximum ?
200
2x^3-5x-7 divided by (x-2)
What is 2x^2+4x+3-1/x-2
200
Given the root is 2 find the other roots f(x)= x2+x-6
What is 2,-3
300
This is an example of which Polynomial Function? https://www.cliffsnotes.com/assets/255811.png
What is Quartic
300
(x-4)^3(x-9) is an example of a positive or negative leading coefficient?
What is Positive
300
An interval where the functions slope is positive.
What is Increasing Intervals ?
300
2x^3+7x^2-6x-8 divided by (x+4)
What is 2x^2-x-2
300
Given the root is -2 find the other roots:___,___ f(x)= x^3-2x^2-5x+6
What is 3,1
400
What is Quintic
400
x^3+3x+1 is an example of an even or odd degree ?
What is an odd degree
400
The _____ _______of a polynomial function is the behavior of the graph of f ( x ) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.
What is End Behavior ?
400
5x^3+3x^2-6 divided by (x-1)
What is 5x^2+2x+2-4/x-1
400
F(x) = 8x3+22x2 - 37x +12 root: 4,___,___
What is ¾, ½
500
Identify the following formula: x=(-b±√(b^2-4ac))/2a
What is The Quadratic Formula
500
The ___ _______ of a polynomial function is the behavior of the graph of f(x) as x approaches positive or negative infinity
What is End Behavior
500
The _________ _______ is based on synthetic division, which is the process of dividing a polynomial f(x) by a polynomial D(x) and finding the remainder. This is written as , where f(x) is the dividend, Q(x) is the quotient, D(x) is the divisor, and R(x) is the remainder.
What is Remainder Thereom ?
500
3x^3-5x+4x+2 divided by (3x+1)
What is 3x^2-6x+6
500
Find the roots if the given root is :⅔ , ___,___ f(x) = 6x^3+5x2-9x+2
What is -3 (+,-) the square root of 17/4