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Mathematics QUIZBOWL

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Mathematics
Q U I Z B O W L
D O M I N G O L A C S O N N AT I O N A L H I G H S C H O O L
Easy Round 10 secs
2
1. If a fifth-degree polynomial is divided by a
third-degree polynomial, what is the
degree of the quotient?
Causes of cell
mutation
A) 2
B) 4
C) 1
D) 3
3
Correct Answer
A) 2
4
2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by
2
𝑥 + 2.
Causes of cell
mutation
A) 𝑥 + 5
B) 𝑥 − 5
C) 𝑥 2 − 3𝑥 + 8
D) 𝑥 2 − 7𝑥 + 16
5
Correct Answer
B) 𝑥 − 5
6
3) In the division algorithm
what is the dividend?
Causes of cell
mutation
𝑃(𝑥)
𝑑(𝑥)
=𝑞 𝑥 +
A) d(x)
B) r(x)
C) P(x)
D) Q(x)
𝑟(𝑥)
,
𝑑(𝑥)
7
Correct Answer
C) P(x)
8
4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 −
3 is divided by 𝑥 − 2.
Causes of cell
mutation
A) −5
B) 27
C) −27
D) 5
9
Correct Answer
D) 5
10
5) A system of three linear equations in three
variables is inconsistent if their planes
Causes of cell
mutation only at a point
A) intersect
B) intersect in a line
C) coincides with each
other
D) coincides with each
other
11
Correct Answer
C) coincides with each other
12
Average Round 30 secs
13
1. If a fifth-degree polynomial is divided by a
third-degree polynomial, what is the
degree of the quotient?
Causes of cell
mutation
A) 2
B) 4
C) 1
D) 3
14
Correct Answer
A) 2
15
2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by
2
𝑥 + 2.
Causes of cell
mutation
A) 𝑥 + 5
B) 𝑥 − 5
C) 𝑥 2 − 3𝑥 + 8
D) 𝑥 2 − 7𝑥 + 16
16
Correct Answer
B) 𝑥 − 5
17
3) In the division algorithm
what is the dividend?
Causes of cell
mutation
𝑃(𝑥)
𝑑(𝑥)
=𝑞 𝑥 +
A) d(x)
B) r(x)
C) P(x)
D) Q(x)
𝑟(𝑥)
,
𝑑(𝑥)
18
Correct Answer
C) P(x)
19
4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 −
3 is divided by 𝑥 − 2.
Causes of cell
mutation
A) −5
B) 27
C) −27
D) 5
20
Correct Answer
D) 5
21
5) A system of three linear equations in three
variables is inconsistent if their planes
Causes of cell
mutation only at a point
A) intersect
B) intersect in a line
C) coincides with each
other
D) coincides with each
other
22
Correct Answer
C) coincides with each other
23
Difficult Round 60 secs
24
1. If a fifth-degree polynomial is divided by a
third-degree polynomial, what is the
degree of the quotient?
Causes of cell
mutation
A) 2
B) 4
C) 1
D) 3
25
Correct Answer
A) 2
26
2. Divide: 𝑥 3 − 5𝑥 2 + 2𝑥 − 10 by
2
𝑥 + 2.
Causes of cell
mutation
A) 𝑥 + 5
B) 𝑥 − 5
C) 𝑥 2 − 3𝑥 + 8
D) 𝑥 2 − 7𝑥 + 16
27
Correct Answer
B) 𝑥 − 5
28
3) In the division algorithm
what is the dividend?
Causes of cell
mutation
𝑃(𝑥)
𝑑(𝑥)
=𝑞 𝑥 +
A) d(x)
B) r(x)
C) P(x)
D) Q(x)
𝑟(𝑥)
,
𝑑(𝑥)
29
Correct Answer
C) P(x)
30
4) Find the remainder when 𝑥 3 − 2𝑥 2 + 4𝑥 −
3 is divided by 𝑥 − 2.
Causes of cell
mutation
A) −5
B) 27
C) −27
D) 5
31
Correct Answer
D) 5
32
5) A system of three linear equations in three
variables is inconsistent if their planes
Causes of cell
mutation only at a point
A) intersect
B) intersect in a line
C) coincides with each
other
D) coincides with each
other
33
Correct Answer
C) coincides with each other
34
Thank you
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35
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