Polynomials
Identify the Function
GCF and factoring
Rewriting Exponents
Key Features of Graphs
100
Name this polynomial:
3x4 + 5x
4th degree binomial
100
Is this scenario - linear, exponential, or quadratic? John deposited $2000.00 in a savings account. Each month, he will deposit an additional $25.00.
Linear
100
What is the greatest common factor:
45 and 54
9
100
Simplify 3x2 * x4
3x6
100
Is the slope of the linear graph positive or negative?
positive
200
Write this polynomial in standard form:
7x + 5 + 3x3 - 2x2
3x3-2x2 + 7x + 5
200
Is this scenario - linear, exponential, or quadratic?
In 2010, the population of a rural community in Iowa was 100 people. Every year since 2010, the population has doubled.
Exponential Growth
200
What is the greatest common factor:
24x2 + 36
12
200
What is (x3)2?
x6
200
Does the graph of the exponential function show growth or decay?
growth
300
Add these polynomials:
(3x2 + 2x - 7) + (x2 - x -4)
4x2 - 1x - 11
300
Is this scenario - linear, exponential, or quadratic? There are 20,000 owls in the wild. Every decade, the number of owls is halved.
Exponential Decay
300
What is the greatest common factor:
14x3y2 + 21xy2
7xy2
300
What is 450?
1
300
Does the graph of the quadratic function open up or down? Is a positive or negative?
up so a is positive
400
Subtract these polynomials:
(4x2 - 5x + 10) - (x2 - 4x + 5)
3x2 - 1x + 5
400
Is this scenario - linear, exponential, or quadratic?
At the start of a carnival, you have 50 ride tickets. Each time you ride the roller coaster, you have to pay 6 tickets.
Linear
400
Factor: x2 -4x + 3
(x-1)(x-3)
400
What is -321?
-32
400
Is the vertex on the graph of the quadratic function, maximum or minimum?
minimum
500
Multiply these polynomials:
(2x - 3) (x + 5)
2x2 +5x - 15
500
Is this scenario - linear, exponential, or quadratic?
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. Gravity pulls it down, changing its position by about 5 m per second squared.
Quadratic
500
Factor: 2x2 + 9x + 4
(x+4)(x+1/2)
500
What is 2-2?
1/4
500
Does the graph of the quadratic function have 0, 1, or 2 x-intercepts?
2