Polynomials [IMO Level 1- Mathematics Olympiad (SOF) Class 10]: Questions 38 - 47 of 82
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Question 38
Question MCQ▾
If the sum of the squares of zeroes of the polynomial is , find the value of k
Choices
Choice (4) | Response | |
---|---|---|
a. | 2 | |
b. | -2 | |
c. | 4 | |
d. | 3 |
Question 39
Question MCQ▾
Every quadratic polynomial can have at the most ________
Choices
Choice (4) | Response | |
---|---|---|
a. | Four zeroes | |
b. | Two zeroes | |
c. | One zero | |
d. | Three zeroes |
Question 40
Question MCQ▾
If be the zeroes of the quadratic polynomial , then the value of = ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 41
Question MCQ▾
If are the roots of the cubic , the value of is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 22 | |
b. | 24 | |
c. | 26 | |
d. | 28 |
Question 42
Question MCQ▾
If is a factor of the polynomial , then find the value of k
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 43
Question 44
Question 45
Question MCQ▾
If one zero of the cubic polynomial is , then other two zeroes are ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 3, -1 | |
b. | 3, -1 & -1,3 | |
c. | -1,3 | |
d. | 1,3 |
Question 46
Question MCQ▾
When is divided by , the quotient and remainder is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 47
Question MCQ▾
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 -5,9, 17 respectively, is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |