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Question 15 Marks
Show by division method that $\left(2 a^2-a+3\right)$ is a factor of $\left(6 a^5-a^4+4 a^3-5 a^2-a-15\right)$.
Answer
[Hint : Divide $\left(6 a^5-a^4+4 a^3-5 a^2-a-15\right)$ by $\left(2 a^2-a+3\right)$ and show that the remainder is 0.]
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Question 25 Marks
Find the quotient and remainder : $\left(x^6+3 x^2+10\right)$ is divided by $\left(x^3+1\right)$
Answer
$Q =x^3-1, R =3 x^2+11$
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[5 marks sum] - MATHS STD 8 Questions - Vidyadip