Question

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

What is the other factor of 6x2 – 7x + 2?

3x – 2
3x – 1
3x + 1
3x + 2

Answer 1

Answer: 3x - 2

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.