You solve by splitting the four term polynomial into halves, then take the GCF from each side and simplify the half. Then you take the simplified answers from both sides and put them in parenthesis.
What is factoring by grouping
100
x^2-2x-3=0
x=-1,1
100
When order does not matter.
What is combination
100
To tell if a graph is a function, you use....
Vertical line test
200
is 4x+3=12 a linear function or a exponential function?
linear function
200
Solve by Grouping
8t^4+12t^3+16t^2+24t
(2t+3)(4t^3+8t)
200
13x^2-5x+21=0
No solution
200
When order matters, also provide an example of when this in school.
What is permutation
-a locker code is an example
200
A slope is run/rise, is this true? If not, correct it.
False it is rise/run
y/x
300
Suppose two mice live in a barn. If the number of mice quadruples every 3 months, is that a linear function or a exponential function?
exponential
300
Factor the polynomial
12b^2-18b
6b(2b-3b)
300
6x^2 + 11x – 35 = 0
x = –7/2, 5/3
300
If you roll a six sided dice and also a 4 colored spinner, will these two be dependent or independent events?
Independent because they have no effect on eachother
300
You roll two dice, what is the probability of rolling less than on both?
1/4
400
What is the formula for a exponential equation
y=mx^2 * b
400
Why is x^2-19x+90 not a perfect square trinomial?
90 is not a square number
400
What is the form for a quadratic function?
f(x) = ax^2 + bx + c
400
What are the terms of five number summary, and which graph do you use them for?
Median, lower quartile, upper quartile, max, min
Box and Whiskers plot
400
y=3 x=9
(x^2)-y
78
500
What is the difference between an linear function and a exponential function?
A linear function is a straight line that increases by a constant rate. A exponential function is has a drastic increase or decrease. It also never touches the x axis
500
A rectangular prism has a volume of 36x^3+51x^2+18x, factor to find the length, width, and height.
3x(3x+2)(4x+3)
500
What shape does a quadratic function have when graphed?
a "U" varying in width and steepness.
500
In a shipment of 20 computers, 3 are defective. Three computers are randomly tested. What is the probability that all three defective if the 1st and 2nd computers are not replaced after being tested?
3/20
2/19
1/18
6/6840
1/1140
500
How do you use the box method?
You place the terms on both sides of the box and then multiply them together, then place the simplest terms in the equation.