Question

find quadratic polynomial whose sum and product of zeroes are -1/4,1/4​

Answer 1

Answer

xpower2 +1/4x+1/4

Step-by-step explanation:

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Answer 2

the quadratic equation is 4x2+x+1

Step-by-step explanation:

given that sum of zeroes(alpha+beta)=1/4

also given that product of zeroes (alpha×beta)=1/4

(x2 read as x square)

we know that p(x)=p(x2+(alpha+beta)x-alpha×beta)

p(x)=p(x2+1/4x-1/4)

let p be 4

=4(x2+1/4-1/4)

=4x2+4 1/4x-4 1/4

=4x2+x-1