exam Maths Puzzle Numerical Ability

How do I 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

REWRITE USING ONLY POSITIVE EXPONENTS: {X^3W^-2/Y^4}^-3 workbook problem i got very partial credit on... please explain/show how to solve...

(4a+1/a^2-4) - (3a-a+7/a^2-4)