Question

If α and β are the zeroes of quadratic polynomial such that 3α -2β = 8 and 2α + 3β = 14, then form the family of polynomials​

Answer 1

Answer:

If α and β are zeros of a quadratic polynomial such that α+β=24 and α−β=8 find a quadtratic polynomial having α and β as it's zeros.

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Answer

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

Step-by-step explanation:

i hope this helps u