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Find the sum and the product of zeroes of the polynomial x2 +7x +10
- a)7,-10
- b)7, 10
- c)-7,-10
- d)-7, 10
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,...
x2 + 7x + 10 = (x + 2)(x + 5)
So, the value of x2 + 7x + 10 is zero when x + 2 = 0 or x + 5 = 0
Therefore, the zeroes of x2 + 7x + 10 are –2 and –5.
Sum of zeroes = -7 = –(Coefficient of x) / (Coefficient of x2)
Product of zeroes = 10 = Constant term / Coefficient of x2
Most Upvoted Answer
Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,...
Solution:
Given polynomial: x^2 + 7x + 10
We need to find the sum and product of zeroes of the polynomial.
To find the zeroes of the polynomial, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = 7, and c = 10.
x = (-7 ± √(7^2 - 4(1)(10))) / 2(1)
x = (-7 ± √9) / 2
x1 = (-7 + 3) / 2 = -2
x2 = (-7 - 3) / 2 = -5
Therefore, the zeroes of the polynomial are -2 and -5.
Now, we can find the sum and product of the zeroes.
Sum of zeroes = -2 + (-5) = -7
Product of zeroes = (-2) × (-5) = 10
Hence, the correct option is D) -7, 10.
Given polynomial: x^2 + 7x + 10
We need to find the sum and product of zeroes of the polynomial.
To find the zeroes of the polynomial, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = 7, and c = 10.
x = (-7 ± √(7^2 - 4(1)(10))) / 2(1)
x = (-7 ± √9) / 2
x1 = (-7 + 3) / 2 = -2
x2 = (-7 - 3) / 2 = -5
Therefore, the zeroes of the polynomial are -2 and -5.
Now, we can find the sum and product of the zeroes.
Sum of zeroes = -2 + (-5) = -7
Product of zeroes = (-2) × (-5) = 10
Hence, the correct option is D) -7, 10.
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Community Answer
Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,...
Answer D is correct...
-2 & -5 are zeroes...so sum of zeroes is -7 and product is 10 by - b/a and c/a respectively
-2 & -5 are zeroes...so sum of zeroes is -7 and product is 10 by - b/a and c/a respectively
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Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct 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 Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct 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 Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct answer is option 'D'. Can you explain this answer?.
Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct 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 Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct 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 Find the sum and the product of zeroes of the polynomial x2+7x +10a)7,-10b)7, 10c)-7,-10d)-7, 10Correct answer is option 'D'. Can you explain this answer?.
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