WorksheetsPractice: Applying the Remainder theorem
Total questions: 10
Worksheet time: 50mins
Name
Class
Date
1.
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 10
p(x) = x3 - 5x2 + 2x - 10
a)
0
b)
2x-10
c)
-2x-10
d)
2x+10
2.
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
3.
If (x-2) is not a factor of (2x3-5x-7), what is the remainder?
a)
-13
b)
4
c)
13
d)
-1
4.
If (x2+3x+7) is divided by (x+2), then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
5.
Find the remainder if you divide
(3x3 + 5x - 1) by (x + 1).
a)
9
b)
-9
c)
7
d)
-7
6.
f(x)=x4−3x3−12x2+15x−34 at x=5
a)
-9
b)
8
c)
-1
d)
6
7.
f(x)=4x3+3x2−8x+13 at x=-2
a)
5
b)
10
c)
0
d)
9
8.
Using synthetic substitution, what is the value of f(-5) for the function f(x) = x³ + 2x² - 3x + 1?
a)
-59
b)
11
c)
71
d)
-6
9.
Using synthetic substitution, what is the value of f(2) for the function f(x) = x² - 8x + 6?
a)
71
b)
-6
c)
62
d)
0
10.
For the function f(x) = 3x⁴ + x³ - 2x² + x + 12, what is f(-5)? Use synthetic substitution.
a)
1707
b)
62
c)
-435
d)
-15
100 %
