Question

3x²-4x+1 what is factorization ​

Answer 1

Answer:

The factorization of $3x^2-4x+1$ is $(3x-1)(x-1)$.

Step-by-step explanation:

The given quadratic equation is

$3x^2-4x+1$

Since the constant term 1 has factors 1 and -1, the last term in the factorization is either of these numbers. Also the coefficient of $x^2$ has factors 1 and 3. Thus we obtain the factorization as follows.

$(3x-1)(x-1)$

So the roots of the equation are $\frac{1}{3}$ and 1.