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Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2
- a)x2 -7x -2
- b)x2 -7 x + 2
- c)x2 + 7x -2
- d)x2 + 2x -7
Correct answer is option 'C'. Can you explain this answer?
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Find a quadratic polynomial, the sum and product of whose zeroes are -...
Ans : (3)
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Find a quadratic polynomial, the sum and product of whose zeroes are -...
Solution:
We know that the sum of the zeroes of a quadratic polynomial ax²+bx+c is given by -b/a and the product of the zeroes is given by c/a.
Let the quadratic polynomial be ax²+bx+c
Given, the sum of the zeroes = -7 and product of the zeroes = -2
Sum of the zeroes = -b/a
Therefore, -7 = -b/a
Multiplying both sides by a, we get
-7a = b
Product of the zeroes = c/a
Therefore, -2 = c/a
Multiplying both sides by a, we get
-2a = c
Hence, the quadratic polynomial is ax²+bx+c = ax²-7ax-2a
Simplifying this, we get ax²-7ax-2a = a(x²-7x-2)
Therefore, the quadratic polynomial is x²-7x-2a, where a is any non-zero constant.
Option (C) x²+7x-2 is the correct answer as it satisfies the given conditions.
We know that the sum of the zeroes of a quadratic polynomial ax²+bx+c is given by -b/a and the product of the zeroes is given by c/a.
Let the quadratic polynomial be ax²+bx+c
Given, the sum of the zeroes = -7 and product of the zeroes = -2
Sum of the zeroes = -b/a
Therefore, -7 = -b/a
Multiplying both sides by a, we get
-7a = b
Product of the zeroes = c/a
Therefore, -2 = c/a
Multiplying both sides by a, we get
-2a = c
Hence, the quadratic polynomial is ax²+bx+c = ax²-7ax-2a
Simplifying this, we get ax²-7ax-2a = a(x²-7x-2)
Therefore, the quadratic polynomial is x²-7x-2a, where a is any non-zero constant.
Option (C) x²+7x-2 is the correct answer as it satisfies the given conditions.
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Community Answer
Find a quadratic polynomial, the sum and product of whose zeroes are -...
U can simply find the equation if sum and product are given as S and P by
x^2 - Sx +P=0...
Hoping it will be useful..
x^2 - Sx +P=0...
Hoping it will be useful..
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Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer?.
Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct answer is option 'C'. Can you explain this answer?.
Solutions for Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2a)x2 -7x -2b)x2 -7 x + 2c)x2 + 7x -2d)x2 + 2x -7Correct 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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