If alpha and beta are zeroes of the polynomial x^2-4x+3,form a quadratic polynomial whose zeroes are 3alpha and 3beta​

If alpha and beta are zeroes of the polynomial x^2-4x+3,form a quadratic polynomial whose zeroes are 3alpha and 3beta​

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2 thoughts on “If alpha and beta are zeroes of the polynomial x^2-4x+3,form a quadratic polynomial whose zeroes are 3alpha and 3beta​”

  1. Answer:

    k(x²-12x+27)

    Step-by-step explanation:

    Let Alpha be a and beta be b.

    x²-4x+3

    a+ b =-( -4)=4

    ab = 3

    Quadratic polynomial

    = k(x²-(3a+3b)x+(3a)(3b)

    =k ( x²-3(a+b)x +9ab)

    =k (x²-3(4)x + 9(3))

    = k(x²-12x+27)

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