solve this mathematical question fror me

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Divide:   -198x3 - 56x2 + 316x - 123


-18x + 8

Oct 7th, 2015

Hello!

-198x^3 - 56x^2 + 316x - 123 =

(-18x + 8)*11x^2 - 88x^2 - 56x^2 + 316x - 123 = 

(-18x + 8)*11x^2 - 144x^2 + 316x - 123 = 

(-18x + 8)*11x^2 + (-18x + 8)*8x - 64x + 316x - 123 =

(-18x + 8)*11x^2 + (-18x + 8)*8x + 252x - 123 =

(-18x + 8)*11x^2 + (-18x + 8)*8x - (-18x + 8)*14 + 112 - 123 =

(-18x + 8)*11x^2 + (-18x + 8)*8x - (-18x + 8)*14 - 11.


So

-198x^3 - 56x^2 + 316x - 123 = (-18x + 8)*(11x^2 + 8x - 14) - 11.

Please ask if something is unclear.
Oct 7th, 2015

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