Polynomials (IMO- Mathematics Olympiad (SOF) Class 10): Questions 73 - 79 of 81
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Question number: 73
» Polynomials
Question
The sum of the reciprocals of the roots of the equation is ________
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Question number: 74
» Polynomials
Question
If 1 is one of the zeroes of polynomials, and then the value of k is ________
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| Choice (4) | Response | |
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| a. | 4 |
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| b. | 0 |
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| c. | -2 |
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| d. | 2 |
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Question number: 75
» Polynomials
Question
The roots of the quadratic equation are in the ratio, then k equals ________
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| Choice (4) | Response | |
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| a. | 10 |
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| b. | 11 |
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| c. | 14 |
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| d. | 13 |
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Question number: 76
» Polynomials
Question
If are the zeroes of the quadratic polynomial , then the value of is ________
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| Choice (4) | Response | |
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| a. | 260 |
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| b. | 238 |
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| c. | 250 |
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| d. | 228 |
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Question number: 77
» Polynomials
Question
A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as 6, 17, 12 respectively, is ________
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Question number: 78
» Polynomials
Question
If one zero of the cubic polynomial is 1, then other two zeroes are ________
Choices
| Choice (4) | Response | |
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| a. | 2, -3 |
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| b. | -2, -3 |
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| c. | -2, 3 |
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| d. | 2, 3 |
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Question number: 79
» Polynomials
Question
If are the roots of then is ________
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