exam Maths Puzzle Numerical Ability

I need some help. I am so confused on this one. I have read my book over and ovr and it is just not clicking on how to do this.

Find all positive values for k for which each of the following can be factored.
x^2+x-k

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exam Other Question

I typed my problem incorrectly
It is
3x squared +x-5
Please help w/ the following:

e^-3x=3.1


Thank you.