Math Olympiad Test: Polynomials - 1 - Free MCQ with solutions Class 10
MCQ Practice Test & Solutions: Math Olympiad Test: Polynomials - 1 (10 Questions)
You can prepare effectively for Class 10 Olympiad Preparation for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Math Olympiad Test: Polynomials - 1". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.
Test Highlights:
- - Format: Multiple Choice Questions (MCQ)
- - Duration: 10 minutes
- - Number of Questions: 10
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If a and b are the zeros of ax2 + bx + c, find the value of 
Detailed Solution: Question 1
If the sum of squares of zeros of the quadratic polynomial P(x) = x2 - 8x + k is 40. What is the value of k?
Detailed Solution: Question 2
What must be subtracted from 8x4 + 14x3 - 2x2 + 7x - 8 so that the resulting polynomial is exactly divisible by 4x2 + 3x - 2?
Detailed Solution: Question 3
What is the cubic polynomial in which the sum, sum of the products of its zeros taken at a time and product of its zeros as 2, -7, -14 respectively?
Detailed Solution: Question 4
⇒ b = -2a
⇒ c = -7a
⇒ d = 14aIf the product of two zeros of the polynomial 2 x3 + 6x2 − 4x + 9 is 3 then what is its third zero?
Detailed Solution: Question 5
If α, β, γ are the zeros of the polynomial 2 x3 + x2 − 13x + 6. What is the value of αβγ?
Detailed Solution: Question 6
What must be added to f(x) = 4x4 + 2x3 − 2x2 + x − 1 so that the resulting polynomial is divisible by g (x) = x2 + 2x − 3?
Detailed Solution: Question 7
What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. αβγ = - 6 and αβ + βγ + γα = 1?
Detailed Solution: Question 8
Which quadratic polynomial has sum of whose zeros is -5 and product of its zero is -12?
Detailed Solution: Question 9
Detailed Solution: Question 10
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