Question

If 2x^2-5x+7 2 x 2 − 5 x + 7 is subtracted from 4x^2+2x-11 4 x 2 + 2 x − 11 then what is the coefficient of x x in the result?

Answer 1

7.

Explanation:

We are asked to find the coefficient of x, when
`2x^2-5x+7` is subtracted from
`4x^2+2x-11`.

Let us subtract
`2x^2-5x+7` from
`4x^2+2x-11` as shown below:

`4x^2+2x-11-(2x^2-5x+7)`

Using distributive property
`a(b+c)=ab+ac`, we will get:

`4x^2+2x-11-2x^2+5x-7`

Combine like terms:

`4x^2-2x^2+2x+5x-11-7`

`2x^2+7x-18`

Therefore, the coefficient of x is 7 in the result.