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Grace Academy Audience Round
English
Classic
by Bankithung · 16 Sep 2026
Questions
20
Mode
Classic
Timer
30 s
Option labels
Shapes
Question 1 of 20 · 30 s
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1
If one zero of the quadratic polynomial \(x^2 + 3x + k\) is 2, then the value of \(k\) is:
2
A quadratic polynomial whose zeroes are \(-3\) and 4 is:
3
If the zeroes of the quadratic polynomial \(x^2 + (a + 1)x + b\) are 2 and \(-3\), then:
4
The number of polynomials having zeroes as \(-2\) and 5 is:
5
If \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(f(x) = px^2 - 2x + 3p\) and \(\alpha + \beta = \alpha\beta\), then the value of \(p\) is:
6
The zeroes of the quadratic polynomial \(x^2 + 99x + 127\) are:
7
If the graph of a polynomial intersects the x-axis at 3 points and touches it at 2 other points, then the number of zeroes of the polynomial is:
8
If one zero of the polynomial \((a^2 + 9)x^2 + 13x + 6a\) is the reciprocal of the other, then the value of \(a\) is:
9
If \(\alpha\) and \(\beta\) are zeroes of \(x^2 - 4x + 1\), then the value of \(\frac{1}{\alpha} + \frac{1}{\beta} - \alpha\beta\) is:
10
If the sum of the zeroes of the polynomial \(f(x) = 2x^3 - 3kx^2 + 4x - 5\) is 6, then the value of \(k\) is:
11
The zeroes of the quadratic polynomial \(x^2 + 88x + 125\) are:
12
If \(\alpha\), \(\beta\) and \(\gamma\) are the zeroes of the cubic polynomial \(ax^3 + bx^2 + cx + d\), then \(\alpha\beta + \beta\gamma + \gamma\alpha\) is equal to:
13
If \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(x^2 - p(x + 1) - c\) such that \((\alpha + 1)(\beta + 1) = 0\), then the value of \(c\) is:
14
A polynomial of degree \(n\) has:
15
If the zeroes of the polynomial \(x^2 + ax - b\) are opposite in sign, then:
16
The degree of the zero polynomial is:
17
If \(\alpha\) and \(\beta\) are the zeroes of \(2x^2 + 5x + k\) such that \(\alpha^2 + \beta^2 + \alpha\beta = \frac{21}{4}\), then \(k\) is equal to:
18
The quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively, is:
19
If \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(x^2 - 6x + k\) and \(3\alpha + 2\beta = 20\), then \(k\) is:
20
The geometric representation of a quadratic polynomial is always a:
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