Find the quadratic polynomial, the sum and product of whose zeroes are

1.	Find the quadratic polynomial, the sum and product of whose zeroes are ¼ and -1/8 respectively.
Answer» Alpha+ Beta =1/4Alpha×Beta=-1/8 P(x) = x^2-(Alpha+Beta)x+Alpha×Beta=0x^2-(1/4+ -1/8)x + 1/4× -1/8=0x^2-1/8x + -1/32=032x^2-4x-1/32=032x^2-4x-1=04(8x^2-x-1) =08x^2-x-1=0 So, 8x^2- x- 1 is the required quadratic equation

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