if a polynomial xpower3 - 6x power2 + 9x +3 is divided by x-1,then the remainder is a 11 b7 c10 d8
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Answer:
Dividend=x
3
−6x
2
+9x+3
\text{Divisor=$x-1$}Divisor=x−1
Step-by-step explanation:
The remainer when P(x) is divided by (x-a) is P(a)
\text{Let}\;P(x)=x^3 -6x^2+9x+3LetP(x)=x
3
−6x
2
+9x+3
\text{Using remainder theorem,}Using remainder theorem,
\text{The remainder when $P(x)$ is divided by $x-1$}The remainder when P(x) is divided by x−1
=P(1)=P(1)
=1^3 -6(1)^2+9(1)+3=1
3
−6(1)
2
+9(1)+3
=1-6+9+3=1−6+9+3
=13-6=13−6
=7
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