Vocabulary
What is a polynomial
A math problem with four or more terms
What is the effect on a graph if a zero has a multiplicity of 2?
Bounce
What is i?
What are three examples of a monomial?
x, 3, 2x
Who was Noah?
The main character in the Flood Story
What are "curly brackets" actually called?
(SPEED TEST) how many zeroes does the problem
f(x) = x3 + x2 - 2x
have?
3 zeroes
What is a quadratic function?
ax2 + bx + c
What does "quintic" mean?
A degree of 5
How many chapters does Genesis have?
50 chapters
What does "FOIL" stand for?
First
Outside
Inside
Last
(SPEED TEST) What are the zeroes on the function
f(x) = x3 + 6x2 + 8x?
x = ﹛-4,-2,0﹜
(SPEED TEST)
If x2 + 1 = 0, then what does x equal?
+/- i
What is the degree of
f(x) = 4?
Zero
How many days did God spend creating the world?
6 days
What is multiplicity?
The exponent applied to a number
(SPEED TEST) Name the multiplicity of the zeroes in the function
f(x) = -x4 - 7x3 - 12x2
and the effect on the graph
Zeroes: -4,-3,0
Multiplicity (respectively): 1,1,2
Effect (respectively): Cross, Cross, Bounce
(SPEED TEST)
Set "x2 - 5x + 25" equal to zero
(5+or-5iroot3)/2
Give an example of a cubic trinomial
9x3 + 13x - 12
How many books are in the Bible?
66 books
What is the quadratic formula?
[-b ± √(b2 - 4ac)]/2a
(SPEED TEST WORD PROBLEM)
A polynomial function has a zero at -6 (multiplicity 2) and 2 (multiplicity 1). Write a polynomial function in standard form that could represent this function.
f(x) = x3 + 10x2 + 12x - 72
(TRIPLE POINTS CHANCE) (Double regardless if right)
Reverse engineer "x = {3/2, (-6+or-6iroot3)/8}" into "16x3 = 54"
(3/2 in reverse steps)
x=3/2
2x=3
2x-3=0
((-6+/-6iroot3)/8 answer)
make that second 6 go back into the root to make (sq root of) 36 X 3
36 times 3 = 108
put i back in to make (sq root of) -108
turn -108 back into 36-144
reverse the simplified formula back into (-6(+/-)(sq root of)62-4(4)(9))/2(4)
take a b and c out so that its 4x2 + 6x + 9
(CONTINUE SOLVING)
(2x - 3)(4x2 + 6x + 9)
distributes to (8x3 - 27)
put a 2 on the outside to make it 16x3 - 54 = 0
add 54 on both sides to make it 16x3 = 54
(STEPS)
How do you find a relative maximum on a TI-84? (from turning on)
1. Turn on the calculator
2. Hit "y="
3. Type in your function
4. Hit "graph"
5. Hit "2nd"
6. Hit "calc"
7. Scroll to "maximum"
8. Find what almost looks like the maximum
9. Scroll two to the left and right, hitting "enter" on each
10. Go to approximate maximum and hit "enter"
Who was Jonah?
The man who got swallowed by a whale for three days