Q6 of 64 Page 49

Divide p(x) = x3 — 4x2 + 5x — 2 by x — 2 Find r(x).

Here the dividend polynomial p(x) = x3 — 4x2 + 5x — 2


and the divisor polynomial s(x) = x – 2


Coefficients of x3, x2, x and x0 in the dividend polynomial are 1, –4, 5 and –2 respectively.


Equating divisor polynomial x – 2 to 0, we get x = 2.



The reminder obtained when the cubic polynomial x3 — 4x2 + 5x — 2 is divided by x–2 is r(x) = 0.


More from this chapter

All 64 →
4

The product of two polynomials is 6x3 + 29x2 + 44x + 21 and one of the polynomials is 3x + 7. Find the other polynomial.

 5

If polynomial p(x) is divided by x2 + 3x + 5, the quotient polynomial and the remainder polynomials are 2x2 + x + 1 and x — 3 respectively. Find p(x).

 7

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).

 8

A trader bought 2x2 — x + 2 TV sets for Rs. 8x4 + 7x — 6. Find the price of one TV set.