SAT Math question. please help!

Question

Which of the following expressions is equivalent to x^2-2x-5/x-3? A. X-5-20/x-3 B. X-5-10/x-3 C. X+1-8/x-3 D. X+1-2/x-3

Answer 1

D by long division

Or you could do the Remainder Theorem x-3=0 add 3 to both sides to get x=3

Substitute 3 in all the x's

Remainder 3²-2(3)-5= -2

The only answer with a Remainder of -2/x-3 is D

Answer 2

I suspect you meant to write (x^2-2x-5)/(x-3) = [(x-3)(x+1) -2]/(x-3) = x+1 - 2/(x-3)

You can always plug in a value for x and see which choice(s) give the same result.