Q1 of 64 Page 49

Divide the following polynomial p(x) by the polynomial s(x).

p(x) = 2x3 — 13x2 + 23x — 12, s(x) = 2x — 3

Here, dividend polynomial = p(x) = 2x3 – 13x2 + 23x – 12


and divisor polynomial = s(x) = 2x — 3



Thus, the quotient polynomial q(x) = x2 – 5x + 4 and the reminder polynomial r(x) = 0.


More from this chapter

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4

Obtain a quadratic polynomial with the following conditions:

The sum of zeros = 1/3; the product of zeros = 1/2

 5

Obtain the quadratic or the cubic polynomial as the case may be in the standard form with the following coefficients:

(1) a = 6, b = 17, c = 11


(2) a = 1, b = —1, c = —1, d = 1


(3) a = 5, b = 7, c = 2


(4) a = 1, b = —3, c = —1, d = 3


(5) a = 3, b = —5, c = —11, d = —3

 1

Divide the following polynomial p(x) by the polynomial s(x).

p(x) = x2 + 5x + 6, s(x) = x + 6

 1

Divide the following polynomial p(x) by the polynomial s(x).

p(x) = 40x2 + 11x — 63, s(x) = 8x — 9