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Find the quadratic polynomial whose zeros are 2 and -6
- a)x2 + 4x + 12
- b)x2 – 4x – 12
- c)x2 + 4x – 12
- d)x2 – 4x + 12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Find the quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x...
We know that quadratic equation is of the form x2-(sum of zeros)x+product of zeros
Sum of zeros=2-6=-4
Product of zeros=2*(-6)=-12
x2-(sum of roots )x + product of roots
x2-(-4)x + 12
x2+4x-12
So the equation is x2+4x-12
Sum of zeros=2-6=-4
Product of zeros=2*(-6)=-12
x2-(sum of roots )x + product of roots
x2-(-4)x + 12
x2+4x-12
So the equation is x2+4x-12
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Community Answer
Find the quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x...
To find the quadratic polynomial whose zeros are 2 and -6, we can start by using the fact that if a quadratic polynomial has zeros at x=a and x=b, then it can be written in factored form as (x-a)(x-b).
So in this case, the factored form of the quadratic polynomial would be (x-2)(x-(-6)) = (x-2)(x+6).
Expanding this expression, we get x^2 + 6x - 2x - 12 = x^2 + 4x - 12.
Therefore, the quadratic polynomial whose zeros are 2 and -6 is x^2 + 4x - 12.
So the answer is a) x^2 + 4x - 12.
So in this case, the factored form of the quadratic polynomial would be (x-2)(x-(-6)) = (x-2)(x+6).
Expanding this expression, we get x^2 + 6x - 2x - 12 = x^2 + 4x - 12.
Therefore, the quadratic polynomial whose zeros are 2 and -6 is x^2 + 4x - 12.
So the answer is a) x^2 + 4x - 12.
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Find the quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. 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 quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. 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 quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. Can you explain this answer?.
Find the quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. 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 quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. 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 quadratic polynomial whose zeros are 2 and -6a)x2+ 4x + 12b)x2– 4x – 12c)x2+ 4x – 12d)x2– 4x + 12Correct answer is option 'C'. Can you explain this answer?.
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