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2. Polynomials
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Q8 of 64 Page 49

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

Cost of 2x2 — x + 2 TV sets = Rs. 8x4 + 7x — 6


Here, dividend polynomial = p(x) = 8x4 + 7x — 6


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



⇒ Cost of one TV set = 4x2 + 2x – 3.


More from this chapter

All 64 →
6

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

9

and are two of the zeros of p(x) = 2x4 + 7x3 — 8x2 — 14x + 8. Find the remaining zeros of p(x).

1

State whether the following statements are true or false:

(1) is a zero of the linear polynomial p(x) = 5x + 7.


(2) p(x) = x2 + 2x + 1 has two distinct zeros.


(3) The cubic polynomial p(x) = x3 + x2 — x — 1 has two distinct zeros.


(4) The graph of the cubic polynomial p(x) = x3 meets the X—axis at only one point.


(5) Any quadratic polynomial p(x) has at least one zero, x R

Questions · 64
2. Polynomials
1 2 3 4 5 5 5 5 6 6 6 6 7 1 1 1 1 2 3 4 5 1 2 2 2 2 2 2 3 4 4 4 5 1 1 1 1 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 10 10 10 10 10 10 10 10
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