Remainder Theorem for Polynomials
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the remainder when p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x-2?
656
652
-64
-368
Tags
CCSS.HSA.APR.B.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the remainder when 8x² - 5x + 1 is divided by x - 2
-1
0
21
23
Answer explanation
Let p(x)= 8x² - 5x + 1 the zero of the polynomial x - 2 is 2 Evaluate p(2) p(2) = 8(2)² -5(2) + 1 = 32 - 10 + 1 = 23 So, by the Remainder Theorem, 23 is the remainder when 8x² - 5x + 1 is divided by x - 2 Alternatively, we can do the long division. When we divide 8x² - 5x + 1 by x - 2, we get 23 as the remainder Hence, option 4 is the correct answer.
Tags
CCSS.HSA.APR.B.2
3.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
What is the remainder?
(3x3 + 5x - 1) ÷ (x + 1)
-2
-9
7
0
Tags
CCSS.HSA.APR.B.2
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If (x2+3x+7) is divided by (x+2), then what is the remainder?
0
-3
9
5
Tags
CCSS.HSA.APR.B.2
5.
MULTIPLE SELECT QUESTION
1 min • 1 pt
The remainder when (x3 - px2 - p) is divided by (x - p)
p
-p
5p
-5p
Tags
CCSS.HSA.APR.B.2
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
-1
102
0
100
Tags
CCSS.HSA.APR.B.2
7.
FILL IN THE BLANKS QUESTION
1 min • 1 pt
Given f(x) = -x2 - x + 20 and it is divided by (x + 4) Use the Remainder Theorem to find the Remainder for f(x) f(x) = -(___)2 - (___) + 20
(a)
Tags
CCSS.HSA.APR.B.2
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