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The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –
- a)x2 + 2x + 3
- b)x2 – 5x + 3
- c)x2 + 5x + 3
- d)x2 + 3x – 5
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The sum and product of zeros of the quadratic polynomial are – 5...
If α, β be the zeros of the quadratic polynomial ,then
(x−α)(x−β) is the quadratic polynomial.
Thus, (x−α)(x−β) is the polynomial.
=x^2−αx−βx+αβ
=x^2−x(α+β)+αβ(i)
(α+β)=−5αβ=3
Now putting the value of (α+β),αβ in equation (i) we get,
x^2−x(−5)+3
=x^2+5x+3
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The sum and product of zeros of the quadratic polynomial are – 5...
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The sum and product of zeros of the quadratic polynomial are – 5...
The sum of the zeros of a quadratic polynomial is given by the formula:
Sum of zeros = - (coefficient of x term) / (coefficient of x^2 term)
The product of the zeros of a quadratic polynomial is given by the formula:
Product of zeros = constant term / (coefficient of x^2 term)
Without the specific coefficients and constant term of the quadratic polynomial provided, we cannot determine the sum and product of its zeros.
Sum of zeros = - (coefficient of x term) / (coefficient of x^2 term)
The product of the zeros of a quadratic polynomial is given by the formula:
Product of zeros = constant term / (coefficient of x^2 term)
Without the specific coefficients and constant term of the quadratic polynomial provided, we cannot determine the sum and product of its zeros.
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The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –a)x2+ 2x + 3b)x2– 5x + 3c)x2+ 5x + 3d)x2+ 3x – 5Correct answer is option 'C'. Can you explain this answer?
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The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –a)x2+ 2x + 3b)x2– 5x + 3c)x2+ 5x + 3d)x2+ 3x – 5Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –a)x2+ 2x + 3b)x2– 5x + 3c)x2+ 5x + 3d)x2+ 3x – 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –a)x2+ 2x + 3b)x2– 5x + 3c)x2+ 5x + 3d)x2+ 3x – 5Correct answer is option 'C'. Can you explain this answer?.
Solutions for The sum and product of zeros of the quadratic polynomial are – 5 and 3 respectively the quadratic polynomial is equal to –a)x2+ 2x + 3b)x2– 5x + 3c)x2+ 5x + 3d)x2+ 3x – 5Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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