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The area of a parallelogram can be expressed as the binomial 2x2 - 10x. Which of the following could be the length of the base and the height of the parallelogram?
To ?nd out the base and the height of the parallelogram, ?nd out the factors of this binomial. First look for factors in which both terms have in general; 2x2 and 10x both have a factor of 2 and x. Factor out the greatest common factor, 2x, from each term 2x2 - 10x; 2x(x - 5). To check an answer like this, multiply by using the distributive property. 2x(x -5); (2x • x) - (2x • 5); simplify and look for a result which is the similar as the original question. This question checked: 2x2 - 10x.
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