Key Features
Addition/Subtraction
Synthetic Division
Solving-Factor by Grouping
Solving-Graphing
100
What is the Domain?
ARN
100
Add:
( 5x^2 − 3) + (-3x^3+ 2x^2)
-3x^2+7x^2-3
100
Divide
(x^2+3x+2)divide(x+1)
(x+2)
100
Factor the Polynomial:
(x+2)(x-2)(x+3)
100
What are the solutions?
(-1,0) (1,0) (3,0)
200
What is the range?
y>=-4
200
Subtract:
(x^3-2x^2)-(-4x^3+3x^2)
5x^3-5x^2
200
How do you know if something is the factor of the polynomial?
The remainder is zero
200
Factor the Polynomial:
(x+3)(x-3)(x+4)
200
What are the solutions to the polynomial?
(-2,0)(-2,0)(1,0)(1,0)
300
What is the local min? What is the local max?
mins: (-1,-4)(1,-4)
max: (0,-3)
300
Add:
(-4x^4+3x^2+14)+(-3x^4-14x^2-8)
-7x^4-11x^2+6
300
Divide
(x^3+3x^2+5x+3)divide(x+1)
x^2+2x+3
300
Solve the polynomial using factor by grouping:
x = -3, -2, 2
300
What are the solutions? What is the equation in factored form? What is the degree? Is the degree even/odd? Is the leading coefficient positive or negative?
(-4,0) (3,0) (3,0)
(x+4)(x-3)(x-3)
degree = 3, odd, positive
400
What are the zeros? What is the y-intercept?
Zeros: (-1.732, 0) (1.732,0)
y-int: (0,-3)
400
Subtract
(-6x^5-8x^4+3)-(-8x^5-6x^4-3x)
2x^5-2x^4+3x+3
400
Divide:
(3x^3+0x^2+5x-1) divide(x+1)
3x^2-3x+8-9/(x+1
400
Solve the polynomial using factor by grouping
x= -5, -2, 2
400
What is the factored form? Then put the factored form into standard form?
(x+1)(x-1)(x-3)
x^3-3x^2-x+3
500
What is the end behavior?
x--> -infinity, f(x)--> +infinity
x--> +infinity, f(x) --> + infinity
500
Subtract:
(12x^5-10x^3-6x)-(-2x^5-14x^4-10x)
14x^5+14x^4-10x^3-16x
500
Divide
(2x^3+7x^2-6x-8)divide(x+4)
2x^2-x-2
500
Solve the polynomial using factor by grouping
x= 6, -6, -1
500
What are the zeros? Put it in factored form:
(-3,0) (2,0) (2,0) (5,0)
(x+3)(x-2)(x-2)(x-5)