EXERCISE 2.3
1. Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder
In this chapter, ya
1. Polynomia
respective
2. A quadrati
are real nu
in each of the following:
(1) p(x) = x - 3x² + 5x - 3, 8(x) = x2 - 2
Gü p(x) = x - 3x2 + 4x + 5, 8(x) = x2 + 1 - x
(iii) p(x)= x1 - 5x + 6, 8(x) = 2 - x2
3. The zeroe
graph of
4. A quadra
at most 3
2. Check whether the first polynomial is a factor of the second polynomial by dividing the
5. If a. and
OL
second polynomial by the first polynomial:
(1) t-3,24 +31-21 - 9t-12
(ii) x2 + 3x + 1, 3x4 + 5r3-7x + 2x + 2
(iii) x - 3x + 1, r - 4x3 + x2 + 3x + 1
6. If a., B.
15
and
3
3. Obtain all other zeroes of 3x4 + 6x? - 2x2 - 10x – 5, if two of its zeroes are
4. On dividing x? – 3x +x+2 by a polynomial g(x), the quotient and remainder werer
and –2x + 4, respectively. Find g(x).
5. Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
and
(ii) deg q(x) = deg r(x)
(iii) deg r(x)=0
and
(1) deg p(x) = deg 9(x)
7. The d
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