Find a quadratic polynomial whose sum and product respectively of zeroes are 0 and - 1
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Answer:
x square - 1
Step-by-step explanation:
given that,
sum of the zeroes (alpha + beta)=0
product of the zeroes (alpha x beta )= -1
finding the quadratic equation ,
k(x square - x(alpha+beta)+alpha x beta)
k(x square - x(0) + -1)
k(x square - 1)
if k=1 then required polynomial is
x square - 1
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