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What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. abg = - 6 and αβ + βγ + γα = 1?
  • a)
    x3 − 4x+ x +6
  • b)
    x3 − 2x2− x +6
  • c)
    x3 − 4x2+4 x − 6
  • d)
    x3 - 4x2- x -6
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
What is the cubic polynomial whose zeros are α, β, γ ...
Given Information:
- Zeros of the cubic polynomial: α, β, γ
- Sum of the zeros: α + β + γ = 4
- Product of the zeros: αβγ = -6
- Sum of the products of pairs of zeros: αβ + βγ + γα = 1

Calculating the Polynomial:
- The cubic polynomial can be expressed as: x^3 - (sum of zeros)x^2 + (sum of products of pairs of zeros)x - product of zeros
- Substituting the given values, the polynomial becomes: x^3 - 4x^2 + x - 6
Therefore, the cubic polynomial is x^3 - 4x^2 + x - 6, which corresponds to option 'A'.
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Community Answer
What is the cubic polynomial whose zeros are α, β, γ ...
Required polynomial
= P(x ) = x3 - (α + β + γ)x2 + (αβ + βγ + γα)x
- αβγ
= x3 − 4x2+ x + 6
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What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. abg = - 6 and αβ + βγ + γα = 1?a)x3 − 4x2+ x +6b)x3 − 2x2− x +6c)x3 − 4x2+4 x − 6d)x3 - 4x2- x -6Correct answer is option 'A'. Can you explain this answer?
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What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. abg = - 6 and αβ + βγ + γα = 1?a)x3 − 4x2+ x +6b)x3 − 2x2− x +6c)x3 − 4x2+4 x − 6d)x3 - 4x2- x -6Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. abg = - 6 and αβ + βγ + γα = 1?a)x3 − 4x2+ x +6b)x3 − 2x2− x +6c)x3 − 4x2+4 x − 6d)x3 - 4x2- x -6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. abg = - 6 and αβ + βγ + γα = 1?a)x3 − 4x2+ x +6b)x3 − 2x2− x +6c)x3 − 4x2+4 x − 6d)x3 - 4x2- x -6Correct answer is option 'A'. Can you explain this answer?.
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