📢 Today's Quiz Topic
Polynomials
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Polynomials
⏰ The quiz will start in 30 seconds! Get ready! 🧠
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The graph of y = ax² + bx + c is an upward-opening parabola which intersects the x-axis at two distinct points. Which of the following is correct?
Anonymous Quiz
36%
a > 0, D > 0
36%
a < 0, D > 0
18%
a > 0, D < 0
10%
a < 0, D = 0
The number of zeroes for a polynomial p(x) whose graph is given below is:
Anonymous Quiz
38%
1
45%
2
15%
3
2%
4
If α and β are the zeroes of the polynomial x² - 5x + 6, then the value of 1/α + 1/β is:
Anonymous Quiz
39%
5/6
41%
-5/6
17%
6/5
3%
-6/5
What must be subtracted from p(x) = 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by g(x) = 4x² + 3x - 2?
Anonymous Quiz
29%
14x - 10
45%
14x + 10
19%
10x - 14
6%
10x + 14
If α and β are the zeroes of the polynomial 2x² - 3x + 1, then the value of α² + β² is:
Anonymous Quiz
27%
9/4
43%
5/4
21%
1/4
9%
7/4
The product of the zeroes of the cubic polynomial p(x) = x³ - 7x + 6 is:
Anonymous Quiz
14%
1
32%
7
44%
6
10%
-6
The sum of the zeroes of the cubic polynomial 2x³ - 5x² - 14x + 8 is:
Anonymous Quiz
17%
-5/2
52%
5/2
20%
7
10%
-4
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The sum of the zeroes of the quadratic polynomial 3x² + 5x - 2 is:
Anonymous Quiz
26%
5/3
54%
-5/3
17%
2/3
4%
-2/3
The product of the zeroes of the quadratic polynomial 2x² - 9x + 4 is:
Anonymous Quiz
39%
2
42%
9/2
12%
-2
7%
-9/2
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If two zeroes of the polynomial x⁴ - 6x³ - 26x² + 138x - 35 are 2 ± √3, the other two zeroes are:
Anonymous Quiz
27%
7, -5
35%
-7, 5
25%
7, 5
12%
-7, -5
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A quadratic polynomial whose sum and product of zeroes are -3 and 2 respectively is:
Anonymous Quiz
34%
x² - 3x + 2
50%
x² + 3x + 2
9%
x² + 2x - 3
7%
x² - 3x - 2
If the zeroes of the polynomial 5x² + 13x + k are reciprocal of each other, then the value of k is:
Anonymous Quiz
15%
0
49%
5
27%
1/5
9%
13
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On dividing x³ - 3x² + x + 2 by a polynomial g(x), the quotient and remainder were x-2 and -2x+4 respectively. Then g(x) is:
Anonymous Quiz
23%
x² - x + 1
47%
x² + x + 1
18%
x² + x - 1
12%
x² - x - 1
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If the graph of a quadratic polynomial lies entirely above the x-axis, then it has:
Anonymous Quiz
33%
two real zeroes
25%
one real zero
28%
no real zeroes
14%
infinitely many zeroes
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If the zeroes of the quadratic polynomial x² + (a+1)x + b are 2 and -3, then:
Anonymous Quiz
25%
a = -7, b = -1
37%
a = 5, b = -1
17%
a = 2, b = -6
21%
a = 0, b = -6
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If 1 is a zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then the value of 'a' is:
Anonymous Quiz
30%
1
35%
-1
25%
0
10%
2
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Which of the following expressions is a polynomial?
Anonymous Quiz
24%
x² - 5√x + 3
16%
x³ + 1/x
53%
x² - 3x + 2
8%
x^(3/2) + 2x + 1
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