Q1. For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials
by factorisation.

- -8/3 , 4/3
- 21/8 , 5/16
- -2√ 3,-9
- -3/2√ 5 , -1/2

**Solution: **

Q2. Given that the zeroes of the cubic polynomial x

^{3}– 6x^{2}+ 3x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.**Solution: **

Q3. Given that 2 is a zero of the cubic polynomial 6x

^{3}+ 2 x^{2}– 10x – 4 2 , find its other two zeroes.**Solution: **

Q4. Find k so that x2 + 2x + k is a factor of 2x

^{4}+ x^{3}– 14 x^{2}+ 5x + 6. Also find all the zeroes of the two polynomials.**Solution: **

Q5. Given that x – 5 is a factor of the cubic polynomial x

^{3}– 3 2 5x + 13x – 3 5 , find all the zeroes of the polynomial.**Solution: **

Q6. For which values of a and b, are the zeroes of q(x) = x

^{3}+ 2x^{2}+ a also the zeroes of the polynomial p(x) = x^{5}– x^{4}– 4x^{3}+ 3x^{2}+ 3x + b? Which zeroes of p(x) are not the zeroes of q(x)?**Solution: **

**‹Exercise 2.3**

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