The sum and the product of the zeroes of a quadratic polynomial are-1/2 and 1/2 respectively,then find the polynomial
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Sum of zeroes (a+b)= -1/2
Product of zeroes (ab)= 1/2
A quadratic equation is of the form p(x) = kx²-(a+b)x + ab
= x² - (-1/2)x +(1/2)
= x² + 1/2x +1/2
Multiplying the equation by 2, we obtain 2x² + x +1
Hence the equation is 2x² + x +1
Product of zeroes (ab)= 1/2
A quadratic equation is of the form p(x) = kx²-(a+b)x + ab
= x² - (-1/2)x +(1/2)
= x² + 1/2x +1/2
Multiplying the equation by 2, we obtain 2x² + x +1
Hence the equation is 2x² + x +1
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