Find the zeroes of the polynomial 3x² - 4√3x + 4 by factorization method.

The zeroes of a polynomial function are the values where the function becomes equal to zero.

Answer: The zeroes of the polynomial 3x² - 4√3x + 4 by factorization method.

Let us see the detailed explanation.

Explanation:

Let f(x) =3 x² - 4√3x + 4  = 0

= 3x² - 2√3x - 2√3x + 4 

= √3x (√3x -2) - 2 (√3x -2)

=(√3x - 2) (√3x - 2)

⇒(√3x - 2)  = 0

x = 2/√3 and 2/√3

Thus , zeroes of the polynomial 3x² - 4√3x + 4 is 2/√3 and 2/√3