Classifying
Multiplying (use an area model)
Dividing (use an area model or long division)
Linear Factored Form(and finding zeros)
Key Features
100
What is the degree, leading coefficient and type of polynomial for: 6b
Degree: 1
LC : 6
Type: Monomial
100
x(x-1)
x2-x
100
(x+1) / (x+1)
1
100
What are the solutions of the linear factored form:
(x-3)(x+2)(x+1)
x=3
x=-2
x=-1
100
What are the zeros in the following graph?
x = 2
x = 1
x = -2
200
What is the degree, leading coefficient and type of polynomial for: y2-3y
Degree: 2
LC: 1
Type: Binomial
200
(x+4)(x+2)
x2+6x+8
200
(6x2-7x-5) / (2x+1)
3x-5
200
What are the solutions of the linear factored form:
(x+9) (x-7) (2x+5)
x= -9
x = 7
x = -5/2
200
What is the y intercept?
(0,2)
300
What is the degree, leading coefficient and type of polynomial for: -3x2-4x+9
Degree: 2
LC: -3
Type: trinomial
300
(4x2-5x+9)(3x-4)
12x3-31x2+47x-36
300
(x3-2x2-13x+6) / (x+3)
x2-5x+2
300
What are the solutions of the linear factored form:
(2x+4) (3x-2) (5x-10)
x = -2
x = 2/3
x = 2
300
Describe the errors: f(x)=(x+2)(x-1)2
The negative and positive signs should flip (x=-2)(x+1)
400
What is the degree, leading coefficient and type of polynomial for: -x4+9x3+x2-3x+4
Degree: 4
LC: -1
Type: five term polynomial
400
(3x+2)(-x+4)(x+1)
-3x3+7x2+18x+8
400
(x3-3x2-23x-15) / (x+3)
x2-6x-5
400
Find the linear factored form of the following:
x2+9x+8
(x+1)(x+8)
400
What are the zeros of the following graph?
x = 2
x = -1 (twice, see the "bounce")
500
What is the degree, leading coefficient and type of polynomial for: 8-6a5
Degree: 5
LC: -6
Type: Binomial
500
(x-2)(x-4)2
x3-10x2+32x-32
500
(4x4-15x3-48x2+109x+30) / (x-5)
4x3+5x2-23x-6
500
Find the linear factored form of the following:
x3+9x2+2x-48 (hint, one factor is x+3)
(x-2)(x+3)(x+8)
500
What does an even degree function v an odd degree function look like?
Even degree creates a parabola shape, where odd degree creates an "N" shape.