Find a quadratic polynomial
the sum and product of whose
zeroes are 2 and -3 respectively.
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We know that a quadratic polynomial when the sum and product of its zeroes are given by
p(x) = K {x2 – (sum of the zeroes) x + Product of zeroes},
where K is a constant.
Therefore, required quadratic polynomial p(x) is given by
p(x) K[x2–(1x)+(–2)] = K (x2 – x– 2).
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