Degree
Terms
End behavior
Graphs
Miscellaneous
100
Classify the polynomial by its degree:
3x^2 + x
quadratic
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
Find the y intercept!
y = (x2 + 3)(2x - 1)
(0, -3)
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
What is 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
As x -> -oo , y -> -oo
As x -> +oo , y -> +oo
300
What are the factors of this graph if the x intercepts are at x = -6 and x = 0?
y = x2(x + 6)
300
Is (3x + 1) a factor of 9x2 + 3x?
Yes! The remainder is 0, so it is a factor!
400
Write the equation in standard form
y = (x + 2)2(3x + 1)
(x2 + 4x + 4)(3x + 1)
3x3 + 13x2 + 16x + 4
400
Based on the graph, the leading coefficient is...
positive
400
if a polynomial's end behavior is the same as
x -> -oo and +oo
then, the function has this type of degree...
even
400
As
x-> +oo , y -> ?
-oo
400
Factor the polynomial:
2x3 + 14x2 + 20x
2x(x2 + 7x + 10)
2x(x+5)(x+2)
500
What is the name of a polynomial with a degree of 5?
quintic
500
Based on the degree, what type of function is
f(x) = x4 + 2x + 3
quartic function
500
Describe the end behavior of f(x) = -x(x + 1)(x + 2)(x + 3)
As x -> +oo or -oo, y -> -oo
500
What transformations does this graph have and what is the multiplicity at x = 3?
2(x-3)^2 + 2
stretch, move to the right 3, and up 2
multiplicity is 2
500
Show us with your arms what a negative, odd end behavior would look like!
Left arm up and right arm down!