Q7 of 64 Page 49

There are x4 + 57x + 15 pens to be distributed in a class of x2 + 4x + 2 students. Each student should get the maximum possible number of pens. Find the number of pens received by each student and the number of pens left undistributed (x N).

Here, dividend polynomial = p(x) = x4 + 57x + 15


and divisor polynomial = s(x) = x2 + 4x + 2



Thus, the quotient polynomial q(x) = x2 – 4x + 14 and the reminder polynomial r(x) = 9x – 13.


⇒ Each student will get (x2 – 4x + 14) pens and number of pens left undistributed = 9x – 13


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