SOLUTION: Use synthetic division to find the function of the value. f(x)=x^3+2x^2+5x+1; find f(-2)

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Question 887552: Use synthetic division to find the function of the value.
f(x)=x^3+2x^2+5x+1; find f(-2)
Answer by josgarithmetic(39620) (Show Source):
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Setup this form:

___________________________________________________________
____ _____|________ ________ __________ __________ ________
__________|________ ________ __________ __________ ________
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__________________ _________ _________ __________ __________

Put in the numbers to use:

___________________________________________________________
____-2____|________1________2__________5__________1________
__________|________ ________ __________ __________ ________
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__________________ _________ _________ __________ __________

Next, knowing what to do in the process is needed. Start with just bringing down the 1 from the dividend leading coefficient.
___________________________________________________________
____-2____|________1________2__________5__________1________
__________|________ ________-2________0 _________-10________
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__________________1_________0 _________5 _________-9__________

The remainder is -9.
This means that .