book Maths Puzzle Numerical Ability

I have a problem with this problem, 16-x squared/ x cubed-2x squared-8x

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please help me with this:

For a value of K, the expression x+k/x^2+kx-15 is undefined when x=5 and x=-3. Find the value of K Could someone help me please with this problem?
I am having a meltdown with polynomials, LCDs and division.
I am supposed to find the LCD, convert into an equivalent rational exp