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WorksheetsPolynomials
Total questions: 25
Worksheet time: 2hrs 21mins
Name
Class
Date
1.
Is (x-2) a factor of f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is not a factor. There is a remainder.
2.
a)
2x3 + 3x + (7/x-4)
b)
2x2 + 3x + 8 + (7/x-4)
c)
2x2 + 3x + 8
d)
2x2 - x + 10 + (6/x-4)
3.
a)
x - 7
b)
x2 - 7
c)
x + 7
d)
x2 + 3x - 54
4.
Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4 R(-12)
b)
2x² - 2x + 6 R(-23)
c)
2x² - 2x + 8 R(-20)
d)
2x² - 4x + 1 R0
5.
If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.
a)
True
b)
False
c)
Only for the dividend
d)
Only for the divisor
6.
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
7.
Find all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9
f(x) = 2x3+5x2-6x-9
a)
-1,-3,-3
b)
-1,-3,3/2
c)
3,3,3
d)
-3,2/3,-1
8.
When p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?
a)
p(2) = 656
b)
p(2) = 652
c)
p(2) = -64
d)
p(2) = -368
9.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3 0 -4 6 1
b)
6 -4 3 1 0
c)
6 -4 0 3 1
d)
-6 4 0 -3 -1
10.
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
11.
What is the quotient when (10n2 - 37n - 12) is divided by (n - 4)?
a)
(10n - 3)
b)
(3n - 10)
c)
(10n + 3)
d)
(3n + 10)
12.
Is this division problem worked correctly?
a)
This is correct!
b)
This is incorrect!
13.
Factor the polynomial.
x2-4x-32
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
14.
w3 + 3w
a)
3w(1)
b)
w(w2 + 3)
c)
w3(w + 3)
15.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
16.
Factor
x2 - 13x + 36
x2 - 13x + 36
a)
A
(x + 9)(x + 4)
(x + 9)(x + 4)
b)
B
(x - 9)(x - 4)
(x - 9)(x - 4)
c)
C
(x + 9)(x - 4)
(x + 9)(x - 4)
d)
D
(x - 9)(x + 4)
(x - 9)(x + 4)
17.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
18.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
19.
Factor completely:
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
20.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
21.
What are the three factors for P(x) = (x3 +x2 -17x +15)?
a)
(x-1) (x+5) (x-3)
b)
(x-1) (x+5) (x + 3)
c)
(x+1) (x+5) (x-3)
d)
(x+1) (x-5) (x-3)
22.
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!
23.
What is the proper way to write the answer for the following problem?
a)
2x3-x2-25x-12
b)
2x4-x3-25x2-12x+0
24.
Which term is missing in this problem?
2x3 + 5x2 + 9 ÷
x + 3
2x3 + 5x2 + 9 ÷
x + 3
a)
x4
b)
x3
c)
x2
d)
x
25.
Solve the following equation. x4 + 4x3 + 3x2 = 0
a)
x = 0, x = 3, x = 1
b)
x = -3, x = -1
c)
x = 3, x = 1
d)
x = 0, x = -3, x = -1
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