COEFFICIENTS

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COEFFICIENTS

Postby MathsLover123 » Sat Oct 22, 2011 2:27 pm

What is the sum of the coefficients of
( [3x - 3x^2 +1]^744 ) x ( [- 3x + 3x^2 +1]^745 ) ??

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Re: COEFFICIENTS

Postby atutor2001 » Sat Oct 22, 2011 3:08 pm

MathsLover123 wrote:What is the sum of the coefficients of
( [3x - 3x^2 +1]^744 ) x ( [- 3x + 3x^2 +1]^745 ) ??

Do you mean : [3x - 3x^(2 +1)]^744 ) x [- 3x + 3x^(2 +1)]^745
I think the answer is 0.

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Re: COEFFICIENTS

Postby HeSheMe » Sat Oct 22, 2011 7:47 pm

Me thinks the answer is 0 too.

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Re: COEFFICIENTS

Postby warriortemujin » Sun Oct 23, 2011 10:09 am

the ans is 744 X 745 x 3 = 1662840
You need to factorise the Q before getting the coefficient.

Where did u get such weird Q?

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Re: COEFFICIENTS

Postby CoffeeCat » Sun Nov 13, 2011 7:16 pm

MathsLover123 wrote:What is the sum of the coefficients of
( [3x - 3x^2 +1]^744 ) x ( [- 3x + 3x^2 +1]^745 ) ??


This is a trick question.
If you want the sum of the coefficients in any polynomial, simply substitute x=1 into the polynomial and evaluate.
Hence when you substitute 1 above, you get 1^744 times 1^745 = 1.

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