Class 10 Exam > Class 10 Questions > If α,βbe the zeros of the quadrati...
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If α,β be the zeros of the quadratic polynomial 2 – 3x – x2, then α + β =
- a)2
- b)3
- c)1
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If α,βbe the zeros of the quadratic polynomial 2 – 3x...
If α and β are the zeros of the polynomial then
(x−α)(x−β) are the factors of the polynomial
Thus, (x−α)(x−β) is the polynomial.
So, the polynomial =x2 − αx − βx + αβ
=x2 − (α + β)x + αβ....(i)
Now,the quadratic polynomial is
2 − 3x − x2 = x2 + 3x − 2....(ii)
(x−α)(x−β) are the factors of the polynomial
Thus, (x−α)(x−β) is the polynomial.
So, the polynomial =x2 − αx − βx + αβ
=x2 − (α + β)x + αβ....(i)
Now,the quadratic polynomial is
2 − 3x − x2 = x2 + 3x − 2....(ii)
Now, comparing equation (i) and (ii),we get,
−(α + β) = 3
α + β = −3
−(α + β) = 3
α + β = −3
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Community Answer
If α,βbe the zeros of the quadratic polynomial 2 – 3x...
Value of alpha +beta =-b/a so herealpha+beta=3/2 which is not in option
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If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If α,βbe the zeros of the quadratic polynomial 2 – 3x – x2, then α +β=a)2b)3c)1d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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