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Answer:

[tex]\color{yellow}{ ANSWER ✿}[/tex]

α+β=24

α−β=8

(α−β)

2

=(α+β)

2

−4αβ=8

2

or,24

2

−4αβ=64

or,4αβ=576−64=512

or,αβ=128

⇒x

2

−(α+β)x+αβ=0

or,x

2

−24x+128=0

Hence x 2 −24x+128=0 is the quadratic polynomial for the required condition

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[tex]\bold\red{Answer}[/tex]

α+β=24

α−β=8

(α−β)² =(α+β)²

−4αβ=8²

or,24²

−4αβ=64

or,4αβ=576−64=512

or,αβ=128

⇒x²

−(α+β)x+αβ=0

or,x²

−24x+128=0

Hence x 2 −24x+128=0 is the quadratic polynomial for the required condition