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by logic only.. see the degree of the polynomial is 1+2+3... 11 = 66 so, to find a term with x^59, you have to remove an x^7 somehow.. that can be done by multiplying all the x terms except x^7 but instead, you have to multiply by -7 as you're not multiplying x^7. similarly, a x^4 and x^3 should be removed and replaced by (-3)*(-4) and similarly for 5,2 and 1,6
i know ive not been clear in my words here, so if youve any problem understanding what ive written, pls ask :)
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