lirinakalistafernand lirinakalistafernand

24-08-2020
Mathematics

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Find the remainder when (2x^2 +2x+1) is divided by ( x+1)

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LammettHash LammettHash

24-08-2020

Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,

[tex]p(x)=2x^2+2x+1[/tex]

[tex]c=-1[/tex]

[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]

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