Q4/10: For what value of k is 3 a zero of the polynomial 2x^2 + x + k?
Anonymous Quiz
17%
21
45%
-21
34%
15
3%
-15
0%
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Q5/10: If the zeroes of the quadratic polynomial ax^2 + bx + c, c != 0, are equal, then:
Anonymous Quiz
33%
c and a have opposite signs
27%
c and b have opposite signs
17%
c and a have the same sign
23%
c and b have the same sign
0%
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Q6/10: What is the value of p(x) = x^2 - 3x - 4 at x = -1?
Anonymous Quiz
21%
-1
54%
0
23%
1
3%
4
0%
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Q7/10: A polynomial of degree zero is called a:
Anonymous Quiz
26%
Linear polynomial
48%
Zero polynomial
18%
Constant polynomial
6%
None of these
2%
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Q8/10: The zero of the linear polynomial ax + b is:
Anonymous Quiz
53%
-b/a
19%
b/a
21%
a/b
6%
-a/b
0%
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Q9/10: If the graph of a polynomial does not intersect the x-axis, the number of its real zeroes is:
Anonymous Quiz
13%
1
23%
2
45%
0
17%
Infinite
2%
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Q10/10: If one zero of the quadratic polynomial 2x^2 - 8x - m is 5/2, then the other zero is:
Anonymous Quiz
31%
3/2
26%
2/3
40%
-3/2
3%
-2/3
0%
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Q1/10: What is the relationship between the zeroes (alpha, beta) and coefficients of ax^2 + bx + c?
Anonymous Quiz
17%
alpha+beta = c/a
30%
alpha*beta = -b/a
47%
alpha+beta = -b/a
4%
alpha*beta = b/a
2%
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Q2/10: If alpha and beta are the zeroes of the polynomial x^2 + x + 1, find 1/alpha + 1/beta.
Anonymous Quiz
28%
1
40%
-1
14%
0
16%
2
2%
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Q3/10: Find the zeroes of 6x^2 - 3 - 7x.
Anonymous Quiz
31%
3/2, -1/3
47%
-3/2, 1/3
17%
2/3, -1/2
3%
1/2, 1/3
3%
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Q4/10: The quadratic polynomial whose zeroes are 1/2 and -1/3 is:
Anonymous Quiz
15%
6x^2 + x - 1
41%
6x^2 - x - 1
32%
6x^2 - x + 1
12%
6x^2 + x + 1
0%
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Q5/10: If alpha and beta are zeroes of x^2 - 6x + a and 3*alpha + 2*beta = 20, find a.
Anonymous Quiz
24%
-16
50%
16
16%
8
5%
-8
5%
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Q6/10: If x+a is a factor of 2x^2 + 2ax + 5x + 10, find the value of a.
Anonymous Quiz
35%
2
30%
5
24%
1
5%
10
5%
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Q7/10: The sum of zeroes of a cubic polynomial ax^3 + bx^2 + cx + d is:
Anonymous Quiz
16%
c/a
47%
-b/a
28%
-d/a
7%
b/a
2%
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Q8/10: If two zeroes of the polynomial x^3 - 3x^2 - x + 3 are 1 and -1, what is the third zero?
Anonymous Quiz
20%
2
49%
-2
29%
3
0%
-3
3%
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Q9/10: If the polynomial x^4 - 6x^3 + 16x^2 - 25x + 10 is divided by x^2 - 2x + k, the remainder comes out to be x + a. This involves:
Anonymous Quiz
38%
Remainder Theorem
33%
Division Algorithm
19%
Factor Theorem
7%
Euclid's Lemma
2%
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Q10/10: Can x-1 be the remainder on division of a polynomial p(x) by 2x+3?
Anonymous Quiz
25%
Yes
32%
No
34%
Only if p(x) is linear
6%
Cannot be determined
4%
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❤1