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Find the sum of the coefficients in the polynomial $3(3x^{7} + 8x^4 - 7) + 7(x^5 - 7x^2 + 5)$ when it is fully simplified.

 Feb 14, 2021
 #1
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3(3x7 + 8x4 - 7) + 7(x5 - 7x2 + 5)

= 9x7 + 24x4 - 21 + 7x5 - 49x2 + 35

 

= 9x7 + 7x5 + 24x4 - 49x2 + 14

The sum of the coefficients = 9 + 7 + 24 - 49 = -9, which is your answer :)

 Feb 14, 2021

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