exam Maths Puzzle Numerical Ability

The length of a rectangle is 3 cm greater than its width.The perimeter is 24 cm. Find the dimensions of the rectangle?

bottom of the rectangle is x+3
the side which is the length is x

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Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
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I am having major problems with this word problem:

On a round trip of 252 miles in each direction, the average rate of travel going was 7 mph more than the rate returning. Find the rate for each direction if the entire trip took 21 hours.