Question

writte a quadratic polynomial sum of whose zeroes is 1/4 and product is -1​

Answer 1

Answer:

sum of zeros = α+β= 1/4

product of zeros = αβ= -1

quadratic equation= x2–(α+β)x +αβ = 0

x2–(α+β)x +αβ = 0x²–(1/4)x +(-1) = 0

solve it further and we get,

4x²–x-4 = 0

${ \bold {\green {\underline{Thus \: ,4x²–x–4 \: is \: the \: quadratic \: polynomial.}}}}$

Answer 2

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sum of zeros = α+β= 1/4

product of zeros = αβ= -1

quadratic equation= x2–(α+β)x +αβ = 0

x2–(α+β)x +αβ = 0x²–(1/4)x +(-1) = 0

solve it further and we get,

4x²–x-4 = 0

${ \bold {\green {\underline{Thus \: ,4x²–x–4 \: is \: the \: quadratic \: polynomial.}}}}$