Question

find a quadratic polynomial with the given numbers as sum and product of its zeros respectively one upon 4 and minus one

Answer 1

let roots of the polynomial be a and b
given : a+b = 1/4, ab = - 1
q. polynomial : x^2 - (a+b) x + ab
x^2 - x/4 - 1

Answer 2

Hello here is your answer

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Solution:-

Step-1)
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Define Sum of zero of this quardratic polynomial
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(1/4)


Step-2)

Define
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Product of the zero,
(-1)
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Step:-3)

Quardratic Polynomial General form

x²-(a+b)x+ab

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Now.Putting the value of statement required

x²-(1/4)x+(-1)

X²-(1/4)x-1


Taking L.C.M

4x²-x-4
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Step:-4)
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Answer:-

4x²-x-4
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Thanks!!!!