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Question

Find a quadratic polynomial if the sum and product of zeros as follows :
The sum of zeros =3; the product of zeros =4

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Solution

Given,

sum of roots =3

product of roots =4

required equation is in the form of,

p(x)=x2(sumofroots)x+(productofroots)

p(x)=x2(3)x+(4)

p(x)=x2+3x4

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