exam Maths Puzzle Numerical Ability

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

A GARDENER MARKS OUT A NEW SECTION OF LAWN THAT IS SUPPOSED TO BE A RECTANGLE WITH SIDES OF LENGTH 15M AND 10M RESPECTIVELY. TO CHECK HE HAS MARKED OUT A RECTANGLE HE MEASURES THE LENGTH OF THE DIAGONAL. HOW LONG SHOULD THIS BE? Hi, Can I please have some help finding the x and y intercepts of:
-2(x - 2)^4 + 8 , 3x^4 + 48 , and 3(x + 2)^3