I take this to be 3x3 - 21x2 + 36x.
I notice that 3x is a factor common to all three terms. Let me remove that first.
3x ( x2 - 7x + 12 )
"By inspection" I can make up the two factors in the parenthesised part.
3x ( x - 4 ) ( x - 3 )
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36x-9y = 15 -9y = -36x+15 y = 4x-5/3 in slope intercept form
81x2 + 72x + 16 = 81x2 + 36x + 36x + 16 = 9x(9x + 4) + 4(9x + 4) = (9x + 4)2
16 + x = 36x = 36 - 16 = 2016 + 20 = 36
False. It has to be either "- 24x" or "+ 36". These would factor as (3x - 4)2 and (3x - 6)2 respectively.
No, it isn't. It would be, if that "36" in the middle were "24" instead.