End Behavior
What is the end behavior and y intercept of:
x^3 - 4x^2 + 6
The right side goes up
Left side goes (opposite) down
Simplify the following expression:
(3x+4) +(2x+9)
5x+13
(x+2)^2
x^2+4x+4
If you use synthetic division and the remainder is zero, what does that mean?
Your k value is a factor of the polynomial. For example, k=1, then (x-1) would be part of the factor form of the polynomial
The result of factoring:
x2 - 25
(x - 5)(x + 5)
These two states are tied for the most bordering states.
Hint: It's the Show-me State and the Volunteer State
Missouri and Tennesse
What is the end behavior and y intercept of:
x^2 + 2x
Left Side goes (same) up
Simplify the following expression:
(2x^2 - 3x)-(x^2 +7x)
x^2 -10x
Simplify the following expression:
(n+p)3
n^3 + 3n^2p + 3np^2 + p^3
You used synthetic division and your linear binomial you are dividing by is (x-3) what is your k value?
k=3
The result of factoring:
27x6 - 48
3(3x3 + 4) (3x3 - 4)
In 1817, Congress divided a territory that became these two states that are practically mirror images of each other.
What are Alabama and Mississippi?
What is the end behavior and y intercept of:
-2x^2 + 16x - 26
Right side goes down
Left Side goes (same) down
Perform the indicated operations of polynomials.
(5x2 - 9x + 4) + (-2x2 + 7x + 1)
3x2 - 2x + 5
Simplify the following expressions:
(n+2)5
n^5 +10n^4 + 40n^3 + 80n^2 + 80n + 32
Using synthetic division, you obtain a reminder of 3, and your divisor is (x + 4). What do you put in the end of your answer?
3/(x+4)
The result of factoring:
125x3 + 27
(5x+3)(25x2 - 15x + 9)
Name two states that have no counties.
Hint: Their nicknames are the Last Frontier and the Pelican State
Alaska has divisions
Louisiana has parishes
What is the end behavior and y intercept of:
x^4 - 3x^2 - x - 3
Right side goes up
Left side goes (same) up
Perform the indicated operations of polynomials.
(x^2 - 5x + 4) - (3x^2 + 3x - 2)
-2x^2 -8x +6
Multiply the polynomials.
(4x^2 + 4x + 5) (7x - 4)
28x^3 + 12x^2 + 19x - 20
What are the coefficients that you would put in your synthetic division for:
(m^3 - 3m^2 - 19m + 3) divide (m-6)
1 -3 -19 3
The result of factoring:
-4x4 - 52x3 -88x2
-4x2(x+11)(x+2)
Four states are part of the Four Corners Monuments, the only place in the country where you can be in four states at once. Name these four states?
UT, AZ, NM, CO
What is the end behavior and y intercept of:
-x^4 + x^3 + 3x^2 + 1
Left side goes (same) down
Simplify the following expression:
(14x5 - 6x3 + 3x - 1) - (8x4 + 3x3 - 7x2 + 9)
14x5 - 8x4 - 9x3 + 7x2 + 3x - 10
Multiply:
(x+1)(x2+2x+1)
x3+3x2+3x+1
Use Long Division:
(4x^3 - 46x^2 + 40x + 34) divide (4x-2)
(x^2 - 10x - 5) + 2/(2x-3)
The result of factoring:
8m3 - 8m2 + 20m -20
4(2m2 + 5)(m-1)
What does the U.S. motto “E pluribus unum” mean?
Out of many, one