exam Maths Puzzle Numerical Ability

I was doing great until I ran into this one please help!

Find all positive values for k for which each of the following can be factored

x^2 + 5x + k

Thank you very much!

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exam Other Question
Consider the problem:

(x-8)/ (x-5 ) divided by (x-9)/ (x+4)



Explain why -5, 9, and -4 are not allowable replacements for the variable x. How do you find proportion

example

Which of these is the correct proportion
72:24=8:3 WRONG
36:48=2:3 WRONG
2:5= 30:75 CORRECT
9:7= 81:54 WRONG