Question

The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1.

Answer 1

Divide 6x^2-7x + 2 by 2x -1
And the quotient is the other factor.
3x + 2 is the factor.
You could also factor the original trinomial to get both factors.

Answer 2

Answer: 3x - 2

Step-by-step explanation:

Here, the given expression,

$6x^2 - 7x + 2$

$=6x^2-(4x+3x) + 2$   ( By middle term splitting )

$=6x^2 - 4x - 3x +2$

$=2x(3x-2)-1(3x-2)$

$=(2x-1)(3x-2)$

Thus, the factor of the given polynomial are (2x-1 ) and (3x-2)

If one is (2x-1)

Then other is (3x-2)

⇒ First option is correct.

Note : we can also find the other factor by dividing the given expression by 2x-1.