Question

if alpha and beta are the zeros of polynomial x^2-4x+3 form a quadratic polynomial whose zeros are 3 alpha and 3 Beta.

Answer 1

Given  α and β are zeroes of the polynomial f(x) = x2- 4x + 3

α+ β = 4 αβ = 3

Now,(3α + 3β) = 3x 4 = 12

3α x 3β = 9 x 3  =  27.

If 3α, 3β are zeros of the quadratic polynomial then the equation is

 x2 -(3α + 3β)x + 9αβ = 0 then

x2 - 12x + 27 = 0.

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Answer 2

Step-by-step explanation:

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