Question

If α and β are zeroes of polynomial x² + 18x + 80 then the value of 3α + 3β will be:

Answer 1

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

Answer 2

Answer:

3 alpha = 36

3 beta =62

3 gama =13

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