Answer:
7.
Step-by-step explanation:
We are asked to find the coefficient of x, when [tex]2x^2-5x+7[/tex] is subtracted from [tex]4x^2+2x-11[/tex].
Let us subtract [tex]2x^2-5x+7[/tex] from [tex]4x^2+2x-11[/tex] as shown below:
[tex]4x^2+2x-11-(2x^2-5x+7)[/tex]
Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:
[tex]4x^2+2x-11-2x^2+5x-7[/tex]
Combine like terms:
[tex]4x^2-2x^2+2x+5x-11-7[/tex]
[tex]2x^2+7x-18[/tex]
Therefore, the coefficient of x is 7 in the result.
