Question

Find hcf of 3x²+7x-6 and 2x²+7x+3​

Answer 1

Given:

The expression are:

`3x^2+7x-6`

`2x^2+7x+3`

To find:

The HCF of the given expression.

Solution:

We have,

`3x^2+7x-6`

`2x^2+7x+3`

The factor form of given expressions are:

`3x^2+7x-6=3x^2+9x-2x-6`

`3x^2+7x-6=3x(x+3)-2(x+3)`

`3x^2+7x-6=(x+3)(3x-2)`

Similarly,

`2x^2+7x+3=2x^2+6x+x+3`

`2x^2+7x+3=2x(x+3)+1(x+3)`

`2x^2+7x+3=(x+3)(2x+1)`

From the factor forms it is clear that the factor
`(x+3)` is common.

Therefore, the HCF of given expressions is
`(x+3)`.