exam Maths Puzzle Numerical Ability

How do you use the distributive property?

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Can someone please help me I don't understand it....

Directions: Find all positive values for K for which each of the following can be factored.

Problem#1

x^2 + x - k

D
NOTE: The given numbers are different from the ones given in the book. The Figure is also in the book.

The figure shows a thin plastic rod of length L = 10.8 cm and uniform pos