what is The coefficient of x3 in polynomial x3 - x2 +1 .
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Answer:
Step-by-step explanation:
(x-a)(x-b)=x^2-(a+b)x+ab
(x-a)(x-b)(x-c)=x^3-(a+b+c)x^2+...
In similar way we can say
(x-1)(x-2)(x-3).......(x-10)=x^10-(1+2+3+.......+10)x^9+.........
coefficient of x^9 inthe expansion of (x-1)(x-2)(x-3)......(x-10)is
=-(1+2+3+....+10)
=-10*11/2
=-55.
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