form a quadratic polynomials whoes zeroes are 1/2 and -1/3
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The quadratic polynomial whose product and sum of the zeroes are 1 and - 12, respectively is :
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Given: Sum of zeroes = - 12 and product of zeroes = 1 We know, p(x) = x^2 - (sum of zeroes)x + (product of zeroes) p(x) = x^2 - ( - 12)x + 1 p(x) = x^2
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let the zeroes be a and b
then, sum of a and b = 1/2-1/3
=1/6
product of zeroes= -1/6
quadratic polynomial =x^2-(a+b)x+(ab)
=x^2-1x/6-1/6
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