How do you use the remainder theorem to determine the remainder when the polynomial #x^3+3x^2-5x+2# is divided by #x+2#?

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Answer 1 · 2017-09-29T18:13:01

#16#

the remainder theorem states that if

#P(x) " is divided by "(x-a)#

the remainder is#" "P(a)#

so we have

#P(x)=x^3+3x^2-5x+2" is divided by "x+2#

so the remainder will be #P(-2)#

#P(-2)=(-2)^3+3(-2)^2-5(-2)+2#

#P(-2)=-8+12+10+2#

#P(-2)=16#