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Polynomial part 2 Quiz

Total questions: 15

Worksheet time: 2hrs 41mins

Name
Class
Date
1.

Find the constant C such that the denominator will divide evenly into the numertor.

 x3 −7x2+5x+C÷x−6x^{3\ }-7x^2+5x+C\div x-6  

a)

c=6

b)

c=498

c)

c=-6

d)

c=-498

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.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
4.

What is the possible degree of the graphed function?

a)

2

b)

3

c)

6

d)

5

5.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
6.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

-2-19i

e)

-14-19i

7.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

8.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
9.
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
10.
Which function has this end behavior?
Note: f(x)=y
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
11.
Determine the end behavior of the graph of 
f(x) = 3x4 + 2x - 5
Note: f(x)=y
a)
As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.
b)
As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.
c)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.
d)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
12.

Given the following polynomial, determine the degree of the polynomial.

 f(x)=−29x(x+5)2(x−6)3(x−9)f\left(x\right)=-\frac{2}{9}x\left(x+5\right)^2\left(x-6\right)^3\left(x-9_{ }\right)  

a)

5

b)

6

c)

7

d)

8

e)

9

13.

Multiplied

 (5+−25)(−3−−16)\left(5+\sqrt{-25}\right)\left(-3-\sqrt{-16}\right)  

a)

5-35i

b)

-35-35i

c)

35-35i

d)

5-5i

14.

Multiply by the complex conjuate and write in standard form:

 (7−2i)\left(7-2i\right)  

a)

53

b)

45

c)

57i

d)

53-4i

15.

Which quadratic has COMPLEX roots(imaginary roots)?

a)
b)
c)
d)