math,help
posted by jasmine20 .
Is this trinomial a perfect square
x^26x+9
if the trinomial starts with x^2 and 1/2 of the middle term coefficient squared equals the last term, then it is a perfect square.
tell me what you found.
i thought it was not a perfect square. because i tried factoring it but it won't come out.am i wrong then
expand (x+3)^2
(x+3)(x+3)
x^2+3x+3x+9
x^2+6x+9
but in the original is x^26x+9
(x+3)^2 is incorrect. It is (x3)^2:
x^23x3x+9
x26x+9
and there is your answer.
Do you get it?
(x3)(x3)
x^23x3x+9
x^26x+9
therefore it is a perfect square is this correct then
sorry emily, of course I meant (x3)^2, it was a typo. sorry, its getting late where I am.
Yes it is. Good job!
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