Degree
Terms
End behavior
Graphs
Division of Polynomials
+ Miscellaneous
+ Miscellaneous
100
What is the degree of the polynomial? Is it odd or even?
3x^2 + x - 4x^4 + 5x^7
7, odd
100
What is the leading coefficient?
9x3 - 5x + 7
9
100
What are degree and leading coefficient?
degree is odd, 3 and leading coefficient is positive
100
The point of the y - intercept?
(0,-1)
100
Show us with your arms what the arrows of an even, negative end behavior would look like!
left and right arm down
200
What is the degree of the polynomial?
3x^2 - 2x^ 4 + x
4
200
The number of terms the polynomial has:
2x^ 8 -3x^ 7 +5x^ 2 + 4x + 1
5
200
What are the degree and leading coefficient?
degree = even, 2 and leading coefficient is negative (concave down)
200
The roots are...?
x = -2, 0, 2
200
Use long division or synthetic division to find the remainder?
(x3 - 4x - 1) divided by (x + 5)
-106
300
Write the polynomial in standard form
3x^2 - 7x^4 + 9 - x ^ 4
What is
-8x^4 + 3x^ 2 + 9
300
These are solutions to polynomials where the graph crosses the x-axis.
zeros
300
If the polynomial is odd and the leading coefficient is positive then this happens to the end behavior? (infinities)
As x -> -oo , y -> -oo
As x -> +oo , y -> +oo
300
How many roots are in this graph?
2 roots
300
Is (3x + 1) a factor of 9x2 + 3x?
Yes! The remainder is 0, so it is a factor!
400
Classify the degree of the polynomial:
y = 3x^4 + 5x^2 -2
quartic
400
Based on the graph, the leading coefficient is...
positive
400
x -> -oo, y -> +oo
x -> +oo, y -> +oo
What is the degree and leading coefficient of the graph shown in the end behavior above?
Even, positive
400
As
x-> -oo , y -> oo
And x -> -oo , y -> ?
-oo
400
Divide the following polynomials:
2x^3 - 5x^2 - x + 3 b ÷ x + 3
Answer:
2x^2 - 11x + 32 - 92/(x+3)
500
Classify a polynomial with a degree of 5?
quintic
500
Draw a graph that represents a negative leading coefficient and an odd degree.
↑ ↓
500
If the polynomial is even and the leading coefficient is negative then this happens to the end behavior? (infinities)
As x -> -oo, y -> -oo
As x -> oo, y -> -oo
500
Identify the end behavior of the following equation:
2x^2 - 5x^4 -4x + 2
x -> -oo , y -> oo
x -> oo , y -> -oo
500
Show us with your arms what a negative, odd end behavior would look like!
Left arm up and right arm down!