find the quadratic polynomial the sum and product of whos zeros are -3 and 2 respectively
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Let the quadratic polynomial = ax² + bx + c
Given, sum of the zeros of quadratic polynomial =
Product of the zeros of quadratic polynomial =
Now, from equation(i) and (ii),
-4b = -8c
=> b = 2c
So, a : b : c = -4b : b : = -4 : 1 :
a = -4, b = 1 and c =
ax² + bx + c = -4x² + x +
Hence, the quadratic polynomial is -4x² + x +
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