Which of the following expressions is this one equivalent to?

(3x^3+15x^2+17x+3)/x+5

a. x^3-2x+5+(7/x+5)
b. 3x-17+(88/x+5)
c. 3x^2+17-(82/x+5)
d. 3x^2-5x-8-(37/x+5)

option (c) is correct,

is the equivalent fraction to the given expression

Step-by-step explanation:

Given expression ,  

We have to choose an equivalent fraction from the given options.

Consider expression (c) ,

Taking LCM , Multiply by (x+5) , we get,

On solving , we get,

On simplifying, we get,

Which is equal to the given expression.

Thus, option (c) is correct,

is the equivalent fraction to the given expression

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)