Respuesta :

The other factor of the polynomial [tex]\rm 3x^2-10x+8[/tex] is ( x - 2 )

It is given that the polynomial [tex]\rm 3x^2-10x+8[/tex] has a factor of  [tex]\rm (3x-4)[/tex].

It is required to find the other factor.

What is Polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have polynomial:

[tex]\rm = 3x^2-10x+8[/tex]

Now by using the factorization method:

[tex]\rm = 3x^2-10x+8\\\rm = 3x^2-6x-4x+8\\\rm =3x(x-2)-4(x-2)\\\rm = (x-2)(3x-4)[/tex]

Thus, the other factor of a given polynomial is ( x-2 )

Learn more about Polynomial here:

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