Find the remainder when x3-2x2+4x-18 is divided by x-2.
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APPROPRIATE QUESTIONS:-
Find the remainder when x³-2x²+4x-18 is divided by x-2.
EXPLANATION:-
Let p(x)=x³-2x²+4x-18
To solve the given problem we will use the remainder theorem .
Using remainder theorem we have:-
x-2=0
x=2
So the remainder will p(2) .
So let's find the value of p(2)
p(2)=(2)³-2(2)²+4(2)-18
p(2)=8-8+8-18
p(2)=8-18
p(2)=-10
So ,the remainder is -10
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