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Question1 (ii)
Answer the following and justify
What will the quotient and remainder be on division of ax2+bx+c by px3+qx2+rx+s,p0?

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Solution

ii) Given that

ax2+bx+c is divided by px3+qx2+rx+s,p0.
So, the dividend is ax2+bx+c and the divisor is px3+qx2+rx+s,p0.
We see that the degree of the divisor > degree of the dividend.
Then,
quotient = 0 and remainder = ax2+bx+c, which is the dividend.

Note:
If the degree of the dividend < the degree of the divisor, then the quotient will be zero and remainder is same as the dividend.


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