Download Review Jeopardy File

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

History of the function concept wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

Elementary mathematics wikipedia , lookup

Horner's method wikipedia , lookup

Proofs of Fermat's little theorem wikipedia , lookup

Factorization of polynomials over finite fields wikipedia , lookup

Polynomial wikipedia , lookup

System of polynomial equations wikipedia , lookup

Line (geometry) wikipedia , lookup

Vincent's theorem wikipedia , lookup

Fundamental theorem of algebra wikipedia , lookup

Transcript
Final
Name That
Function
Divide and
Factor
Roots &
Zeros
Define This
Perms &
Combs
10
10
10
10
10
20
20
20
20
20
30
30
30
30
30
40
40
40
40
40
50
50
50
50
50
A monomial that is not
involved with a variable is
called this.
Constant
Name That Function – 10
Points
Classify the Following
Polynomial:
x2+2-6x3+x-x5
x2+2-6x3+x-x5
5th Degree Polynomial
Name That Function – 20
Points
Classify the Following
Polynomial:
x2(x+2)(x-3)
x4-x3-6x2
4th Degree Polynomial
Name That Function – 30
Points
This polynomial has zeros at x =
0, 2 w/a mult of two, -3i, +3i, & -3
w/a mult of two.
What is the Degree of this
Polynomial?
7th Degree Polynomial
Name That Function – 40
Points
Classify the Following
Polynomial:
(a-b)4
What is the degree & how
many terms are?
4th Degree Polynomial with 5
terms. One more than ‘n’.
Name That Function – 50
Points
(x2+2x+6)÷(x+2)
The binomial (x+2) in this
division problem is called
The Divisor
Divide and Factor – 10
Points
Find the Quotient
(x2+2x+6)÷(x+2)=
(x+ 6/(x+2))
Divide and Factor – 20
Points
Find the Quotient
(4x3+3x2+2x)÷(x+3)=
4x2-9x+29-(87/(x+3))
Divide and Factor – 30
Points
Find the Quotient
(4x3+2x+1)÷(x2-3)=
4x+((14x+1)/(x2-3))
Divide and Factor – 40
Points
Use Division & Factor out
Completely.
(x3-4x2-9x+36);(x+3)
State Each Factor!
(x+3)(x-3)(x-4)
Divide and Factor – 50
Points
What are the zeros of the
following function?
(x3-4x2-21x)
x(x2-4x-21)=x(x-7)(x+3)
The zeros are 0,7,-3
Roots and Zeros – 10
Points
Four roots of a polynomial
equation with a rational
coefficients are -17, -6-i,
and 0. Which root is
missing?
-6+i
Roots and Zeros – 20
Points
Write the polynomial function
(in linear factors) that best
associates with graph.
Roots and Zeros – 30
Points
x(x+1)(x-2)(x+4)
Describe the differences
between a ‘zero of a function’
and an ‘x-intercept’.
A zero of a function is a solution
to the function that causes the
function to equal zero. An xintercept is where y=0 and when
the line of the graph crosses the
x-axis.
Roots and Zeros – 40 Points
The polynomial 2x5+3x32x+273 could possibly
have how many imaginary
roots?
0,2, or 4
Roots and Zeros – 50
Points
The number of
appearances of a zero of
a polynomial function
describes the ______ of a
zero.
Multiplicity
Define This
– 10
Points
If a quotient of polynomial
division results in a
polynomial with no
remainder, then the divisor
is said to be a _____ of the
dividend.
Factor
Define This
– 20
Points
Define n!
n!=n*(n-1)*(n-2)*…*1
Define This
Points
– 30
Define: Rational Numbers
Any integer numbers ‘a’ and
‘b’, (where b≠0) that can be
written as a fraction a/b.
Define This
– 40 Points
A monomial or the sum of
monomials.
(What am I?)
A Polynomial
Define This
Points
– 50
An arrangement of items
in a particular order.
What is a Permutation
Perms and Combs – 10
Points
Solve:
7 P2
7!/(7-2)!=
(7*6*5!)/5!=7*6=21
Perms and Combs – 20
Points
What are the formulas for
a Permutation and
Combination?
n!/(n-r)!=Permutation
n!/(r!(n-r)!)=Combination
Perms and Combs – 30
Points
Determine whether the following situations
would require calculating a permutation or a
combination:
DAILY
DOUBLE
(A.) Selecting three students to attend a
conference in Washington, D.C.
(B.) Selecting a lead and an understudy for a
school play.
(C.) Assigning students to their seats on the first
day of school.
A. Combination B.permutation C. permutation
Perms and Combs – ??
Points
A car door lock has a five digit-button
keypad. Each button has one number
on it (1-5). How many different
five-button patterns are possible?
(You can use a button more than once.)
nr=55=3125
Perms and Combs – 50
Points
FINAL JEOPARDY
FINAL
JEOPARDY
The binomial expansion
(2x-3)5 could possibly
have how many
imaginary roots?
0 Imaginary Roots,
They’re all REAL!
Rational Roots