Question

Find th quadratic polynomial each with the given numbers as the sum and product of its zeroes resoectively
1)1/4,-1

Answer 1

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Answer 2

Step-by-step explanation:

Let ax²+bx+c=0 be quadratic equation and alpha and beeta be their zeroes.

Given, alpha+beeta=1/4

alphabeeta=-1

Formula to find the quadratic equation is

x²-(alpha+beeta)x+(alphabeeta)=0

x²-1/4x+(-1)=0. ( multiply 4 to the equation)

4x²-x-4=0 is the required quadratic equation.

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