SOLUTION: The first term of a polynomial expression is 2a2. Regardless of what the next terms are, is it possible that this polynomial expression is the square of a binomial? Why or why not?

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Question 762892: The first term of a polynomial expression is 2a2. Regardless of what the next terms are, is it possible that this polynomial expression is the square of a binomial? Why or why not?
Answer by Alan3354(69443) About Me  (Show Source):
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The first term of a polynomial expression is 2a2. Regardless of what the next terms are, is it possible that this polynomial expression is the square of a binomial? Why or why not?
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The square of a binomial is (ma + b)*(ma + b)
= m%5E2%2Aa%5E2+%2B+...%29
For the coefficient of the a^2 term to be 2, m = sqrt(2)
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eg
%28sqrt%282%29a+%2B+b%29%5E2+=+2a%5E2+%2B+2sqrt%282%29ab+%2B+b%5E2
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Whether there's a yes or no you'll have to decide.