Which of the following graph represents a quadratic polynomial which has sum of its zeroes as zero?

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Solution

The correct option is B

We know that, the values at which a quadratic polynomial cuts the x-axis are its zeroes.

Option A: Polynomial cuts the x-axis at : -3, -2 ; sum of zeroes: -5

Option B: Polynomial cuts the x-axis at : 2, 3; sum of zeroes: 5

Option C: Polynomial cuts the x-axis at : 2, 3; sum of zeroes: 5

Option D: Polynomial cuts the x-axis at : -2, 2; sum of zeros: 0

Hence, the answer is D.

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