Polynomial Division
What must the remainder be when dividing to determine whether a polynomial is a factor?
ZERO
What are the four steps to finding an inverse function?
1. Change f(x) to y
2. Switch x and y
3. Solve equation for y
4. Change y in solved equation to f-1(x)
Using composition determine whether the following functions are inverses
f(x) = -(x + 7)/ 5 g(x) = -5x - 7
YES
Determine the roots of f(x) = x2 + 5x + 6
x = -2 and x = -3
When is St. Patrick's Day?
March 17, 2020
What is the remainder when
f(x) = x3 + 3x2 − 10x − 14 is divided by (x − 3)?
Ten
Find the inverse for the following relation
{(-2, 10), (-1, 0), (3, -5), (6, -9)}
{(10, -2), (0, -1), (-5, 3), (-9, 6)}
Using composition determine whether the following are inverses
f(x) = 3x + 6 g(x) = -3x - 6
NO
Solve (4 + 5i)(4 - 5i)
41
What kind of fish is Nemo from "Finding Nemo"
A clownfish
Determine whether (x + 2) is a factor of
f(x) = x3 + 5x2 + 11x + 10. If not, what is the remainder?
YES, It is a factor!
Find the inverse of f(x) = 2x + 14
f-1(x) = (x /2) - 7
Determine f(g(x))
f(x) = 10x + 12 g(x) = - 3x2 - x + 4
f(g(x)) = - 30x2 - 10x + 52
f(x) = x2 + 6x + 10. What is the average rate of change between [1,3].
10
At what point do parallel lines meet?
They never meet
Determine the remainder of f(x) = 2x3 - 15x2 - 7x when divided by (x - 8)
-120
Find the inverse of y = (1/2)x + 8.
f-1(x) = 2x - 16
Determine g(f(3))
f(x) = 20x - 64 g(x) = -x2 + 2x
- 8
Determine whether the solutions are real or imaginary.
p(x) = 4x2 - x - 4
Imaginary
A boy is 2 years old, his brother is half as old as him. When the first boy is 100, how old will his brother be?
99
Determine the quotient of f(x) = 6x3 - 18x2 + 7x - 21 divided by (x - 3)
6x2 + 7
Find the inverse.
p(x) = -5x + 45
p-1(x) = - (x/5 ) - 9
Determine the inverse of f(x) = (x + 6)2/ 3
Negative 6 + the square root of 3x
Andrew can cover the roof of a house in 3 days. Bill can make this job in 6 days.
How long will it take to Andrew and Bill to complete the job working together?
2 days
This riddle must be done IN YOUR HEAD and NOT using paper and pen or a calculator. Try it!
Take 1000 and add 40 to it. Now add another 1000 to it.
Now add 30. And another 1000.
Now add 20. Now add another 1000. Now add 10.
What is the total?
4100