Features of Polynomials
Features of Graphs
Finding x-intercepts
100
What is the constant of the polynomial below?
2x^3-x^2+7x+8
8
100
Which point represents the y-intercept?
Point B
100
What are the x-intercepts in the polynomial graph below?
-4, -2, 1, and 4
200
What is the degree of the polynomial below?
2x^3-x^2+7x+8
3
200
How many total relative maxima are there in the polynomial graph below?
Two
200
What are the x-intercepts of the function below?
f(x)=(x-16)(x+7)
16 and -7
300
What is the degree of the polynomial below?
h(x) = x^9-2x^8+3x^7-4x^6+5x^5
9
300
What kind of feature does Point A represent?
A relative minimum
300
What is the largest x-intercept of the function below?
T(x)=(x-9)(x-13)(x+20)
13
(the other x-intercepts are -20 and 9)
400
Write the polynomial below in standard form
4x^2+1+9x^3+5x
9x^3+4x^2+5x+1
400
Which point represents a relative maximum that is between the two relative minima in the graph?
Point E
400
Write a polynomial in factored form that has x-intercepts at x=8 and x=-9.
f(x)=(x-8)(x+9)
500
Write a polynomial:
* in standard form
* with degree 3
* with a leading coefficient of 5
* with a constant of -2
Answers will vary:
5x^3 ________ – 2
500
How many total relative maxima and relative minima have negative y-coordinates?
Three
500
Find all the x-intercepts of the function below.
f(x)=(2x-1)(5x-15)(6-x)
1/2, 3, 6