Math, asked by visheshtrivedi6358, 7 months ago

Find a quadratic polynomial with the sum of its zeroes being -1/4 and the product of
its zerocs being 1/4​

Answers

Answered by GoldenWierdo
2

Answer:

now, let the quadratic polynomial will be in the form:

x²+(α+β)x+αβ = 0

where α, β are the zeroes of the polynomial.

given, α+β = -1/4; αβ = 1/4

so the polynomial will be, x²+(-¹/₄)x+¹/₄ = 0

which can be rewritten as (4x²-x+1)/4 = 0

from which we finally get:

         4x²-x+1 = 0

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Answered by amithalwai77
1
Quadratic equation will be
x^2+x+4=0
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