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?
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The square of a binomial is (ma + b)*(ma + b)
= {{{m^2*a^2 + ...)}}}
For the coefficient of the a^2 term to be 2, m = sqrt(2)
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eg
{{{(sqrt(2)a + b)^2 = 2a^2 + 2sqrt(2)ab + b^2}}}
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Whether there's a yes or no you'll have to decide.