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Quiz 2.1 - 2.3

Total questions: 29

Worksheet time: 1hrs 26mins

Name
Class
Date
1.
f(x)= x2(x – 2)3(x – 7)

Find and select each real zero and its multiplicity
a)
0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)
b)
2 (Mult of 3), 7 (mult 1)
c)
0, 2, 7
d)
2 (mult of 2), 7 (mult of 3)
2.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
3.

What is the degree of the following graph?

a)

3

b)

4

c)

5

d)

6

4.

What is the degree of the polynomial?

9x5 - x4 + 2x

a)

10

b)

5

c)

4

d)

2

5.
What is the leading coefficient of the polynomial?
  7x5 - 9x2 + 6x
a)
7
b)
5
c)
9
d)
2
6.

Write the function of the following graph?

a)

f(x)= -(x+4)2(x+1)

b)

f(x)= -(x+1)2 (x+4)

c)

f(x)= (x+1)2(x+4)

d)

f(x)= (x+4)(x+1)

7.
Is (x-4) a factor of (x3 +x2 -16x-16)?
a)
YES
b)
NO
8.
Find all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9
a)
-1,-3,-3
b)
-1,-3,3/2
c)
3,3,3
d)
-3,2/3,-1
9.

In the above graph, which root has a multiplicity of 2?

a)

-1

b)

-3

c)

-120

d)

4

10.

Use long division algorithm.

a)

4x - 2

b)

4x + 2

c)

2x - 4

d)

12x + 6

11.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
12.

For synthetic division, what would be the number in the left hand box?

a)

-2

b)

1

c)

2

d)

3

13.
(2x3 + 7x2 - 6x - 8) ÷ (x + 4)
a)
2x2 - x - 2
b)
2x3 - x2 - 2x
c)
2x2 + 15x + 54 + 208/x+4
d)
2x3 + 15x2 + 54x + 208
14.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
15.

If given the equation

y = 3(x + 5)2 - 4,

what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(-5, 4)

16.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

y = 2

b)

x=1

c)

x=-2

d)

x=4

17.

A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?


Formula: f(x) = a(x - h)2 + k

a)

-11 = a(10 - 6)2 + 5

b)

y = -(10 - h)2 + k

c)

y = -(x - 6)2 + 5

d)

y = (x - 6)2 + 5

18.

Which of the following statements are TRUE?

Select all that apply.

a)

The "a" value is positive.

b)

The y-intercept is positive.

c)

It has two zeros.

d)

The axis of symmetry is x = 1.

e)

The vertex is at (0, 5).

19.
What is the vertex?
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
20.

What is the y-intercept?

f(x) =(x-1)2(2x+1)3(x-3)2

a)

(0,8)

b)

(0, 9)

c)

(0, 4)

d)

(0, 3)

21.
Given the function g(x) = 2x4 - x3 + 8/x which of the intervals must contain a zero?
a)
[-1,1]
b)
[0,2]
c)
[2,4]
d)
None of these intervals
22.

Describe the end behavior, from left to right, of the function

y= -(x+1)2(x-3)

a)

increasing, increasing

b)

decreasing, decreasing

c)

increasing, decreasing

d)

decreasing, increasing

23.

What does multiplicity of a zero mean?

a)

Look at the number of terms

b)

How many times the zero repeats as a factor

c)

Find the sum of all the coefficients

d)

Ratio your x and y

24.

Where does this function bounce?

f(x)= x(x - 2)3(x+1)

a)

x=2

b)

x=-1

c)

x=0

d)

No where

25.

Factor:

x3-12x2+47x-60=0 when 5 is a root.

a)

(x-3)(x-4)(x-5)

b)

(x+1)(x-4)(x-5)

c)

(x-3)(x-4)(2x-5)

d)

(x-5)(x-4)(x-5)

26.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

27.

 Given x3−x2−6x is x=0 a zero?Given\ x^3-x^2-6x\ is\ x=0\ a\ zero?  

a)

yes

b)

no

28.

Find the a value of the polynomial graph here, that passes through the point (0, 5)

a)

1

b)

2

c)

32\frac{3}{2}

d)

52\frac{5}{2}

29.
If 𝒙2+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5

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