WorksheetsRevision Polynomials & Review Math 3
Total questions: 36
Worksheet time: 9hrs 0mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
What is the leading coefficient of the following polynomial?
5x²-3x+6
5x²-3x+6
a)
2
b)
-3
c)
5
d)
6
6.
Add the following polynomials:
(x³-2x²+3)+(2x³+3x²-1)
(x³-2x²+3)+(2x³+3x²-1)
a)
3x³-2x²+3x+2
b)
3x³+x²+2
c)
3x³-5x²-2
d)
3x³-x²+1
7.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
8.
What is the GCF of this polynomial?
2x³-8x²+3x
2x³-8x²+3x
a)
2
b)
x²
c)
2x
d)
x
9.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
10.
What is the factored form of
x³ + 7x² - 2x -14 ?
a)
(x² - 2)(x - 7)
b)
(x² + 2)(x - 7)
c)
(x² + 2)(x + 7)
d)
(x² - 2)(x + 7)
11.
Solve the polynomial: 2x2 -50=0
a)
x=0, 5, -5
b)
x=5, -5
c)
x=0, 25, -25
d)
x= 5/2, -5/2
12.
Write the polynomial in standard form given the following zeros. x = -2, 1, 4
a)
f(x) = (x+2)(x-1)(x-4)
b)
f(x) =x3 - 3x2 - 6x + 8
c)
f(x) = x3 + 8
d)
f(x) = x3 - 3x2 + 8
13.
8r3 + 16r2
a)
4r2(2r + 4)
b)
8r2(r + 2)
c)
8(r3 + r2)
d)
4(r3 + 2r2)
14.
Decide if (x-3) is a factor of 3x3+10x2-x-12
a)
Yes, it is a factor!
b)
No, it is not a factor!
15.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
List the zeros for this function.
a)
x= -4, x=3, x= -2
b)
x= -4, x=3, x=2
c)
x= -4, x=3, x=2
d)
x=4, x= -3, x= -2
16.
How many zeros does the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
17.
Identify the zeros:
a)
x=-2, x=-1, x=0
b)
x=-2, x=0
c)
x=-1, x=0, x=2
d)
x=-2, x=0, x=1
18.
a)
The function has an Even degree
b)
The function has a Negative coefficient
c)
The function has an Odd degree
d)
The function has 3 real zeros
19.
a)
y=-(x+1)(x-2)(x-4)
b)
y=(x+1)2(x-3)(x-1)3
c)
y = 3x3 – 2x + 1
d)
y=(x+1)3(x-3)(x-1)2
20.
a)
A
b)
B
c)
C
d)
D
21.
Over the interval (−1, 2), the graph of the polynomial shown could be described as
a)
decreasing
b)
increasing
c)
quadratic
d)
complex
22.
Determine the y-intercept
f(x) = x3 - 5x2 - 25x + 125
f(x) = x3 - 5x2 - 25x + 125
a)
(0,0)
b)
(0,25)
c)
(0,125)
d)
(0,5)
23.
In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
24.
Determine the end behavior of the graph of
f(x) = -7x3 + 2x - 1
f(x) = -7x3 + 2x - 1
a)
As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
b)
As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.
As x→-∞, f(x) →∞.
c)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.
As x→-∞, f(x) →∞.
d)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
25.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
26.
Find the inverse of: y = 7x +6
a)
b)
c)
27.
Factor f(x)= x3 - 2x2-13x - 10 given that
(x - 5) is one factor.
(x - 5) is one factor.
a)
(x- 5)(x - 1)(x - 2)
b)
(x - 5)(x + 2)(x - 2)
c)
(x - 5)(x + 2) (x + 1)
d)
(x - 5)(2x - 13)
28.
What is the least degree of the graph of the above polynomial?
a)
3
b)
4
c)
5
d)
Not enough information
29.
Which graph could be used to find the solution to the system of equations show below:
y=2x+6
y=x2+4x+3
a)
b)
c)
d)
30.
What is the Domain?
a)
x > 0
b)
All Real Numbers
c)
x > 1
d)
x < 1
31.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
32.
What is the increasing interval on the function shown?
a)
(−∞, 1)
b)
(−∞, 2)
c)
(2, ∞)
d)
(1, ∞)
33.
What is the decreasing interval on the function shown?
a)
(−∞, −3)
b)
(−∞, −4)
c)
(−4, ∞)
d)
(−3, ∞)
34.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
35.
a)
A
b)
B
c)
C
d)
D
36.
Convert 10(x+5)=100 to logarithmic form.
a)
log100=x+5
b)
log(x+5)=100
c)
log(100)=x+5
d)
log(x+5)(100)=10
100 %
