The remainder when x
3
– 3x
2+11 is divided by x + 1 is
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0
Answer:
5
Step-by-step explanation:
Let's rearrange it to get factors of x+1:
- 3x^3-3x^2+11=
- 3x^3+3x^2-6x^2-6x+6x+6+5=
- 3x^2*(x+1)-6x*(x+1)+6(x+1)+5=
- (x+1)(3x^2-6x+6) +5
So as we see above remainder is 5
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