Answer:
[tex]10x^2-x+3[/tex] miles.
Step-by-step explanation:
It is given that,
Total length of park trail = [tex]10x^2+4x+2[/tex] miles
Total length traveled by hiker = [tex]5x-1[/tex] miles
We need to find the length of trail hiker need to travel to get to the end of the trail.
Required length [tex]=10x^2+4x+2-(5x-1)[/tex]
[tex]=10x^2+4x+2-5x+1[/tex]
[tex]=10x^2+(4x-5x)+(2+1)[/tex]
[tex]=10x^2-x+3[/tex]
Therefore, hiker need to travel [tex]10x^2-x+3[/tex] miles to get to the end of the trail.