Question

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

Answer 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)