Cubic Functions
Operations with Polynomials
Factoring Polynomials
Finding Solutions to Polynomial Equations
Math Trivia
100
What is the highest exponent in a cubic function?
^3
100
What determines the degree of a polynomial?
The highest exponent
100
Name any method you can use to factor a polynomial.
Division, factoring out monomials, factoring patterns, grouping.
100
The solutions to a polynomial equation will set the polynomial equal to ____.
0
100
What is the only number that has the same number of letters as its value?
HINT: It is between 1 and 100
Four
200
Is a cubic function even or odd?
Odd
200
Add the polynominals:
(16-x^2)+(-18x^2+7x^5-10x^4+5)
7x^5-10x^4-19x^2+21
200
Factor out an x from the polynomial.
(X^3+X^2-12X)
X(X^2+X-12)
200
List all possible rational zeros of the polynomial:
X^3-5x^2+6
1, 2, 3, 6 (+/-)
200
When is Pi Day celebrated?
March 14th
300
How does the graph of
y=x^3+5
shift on the coordinate plane?
It moves 5 units up
300
Subtract the polynomials:
(9x-12x^3)-(5x^3+7x-2)
-17x^3+2x+2
300
Continue factoring the 200 point question:
X(X^2+X-12)
X(X+4)(X-3)
300
If
4-sqrt17
Is a solution to a polynomial equation, what else is?
4+sqrt17
300
The Obelus is the name for what mathematical symbol?
HINT: it is a common operation
division sign
400
Sketch the general shape of y=x^3
(on graph)
400
Multiply the polynomials:
(3x-2)(2x^2+3x-1)
6x^3+5x^2-9x+2
400
Find 2 factors of:
8x^3-64
8, (x-2), (x^2-2x+4)
400
What is the complex conjugate root theorem?
If a+bi is a solution, so is a-bi
400
What does D stand for in Roman Numerals?
500
500
Write an equation for the below graph of a cubic function:
Y=(x-2)^3+3
500
Divide the polynomials using synthetic or long division. You will have a remainder.
(2x^3+5x^2-x+7)div(x-2)
2x^2+9x+17
Remainder 41
500
Factor by grouping:
X^3+8x^2+6x+48
(X^2+6)(x+8)
500
Find all the zeros of the polynomial:
F(X)=4X^3-4X^2-X+1
1, 1/2, -1/2
500
What is the next number in the sequence?
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
55