# NCERT Mathematics Class 10 Exemplar Ch 2 Polynomials Exemplar Problems Part 4

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**EXERCISE 2.4**

1. 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.

(i)

(ii)

(iii)

(iv)

Answer: (i) (ii) , (iii) (iv)

2. Given that the zeroes of the cubic polynomial are of the form for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Answer: and or , . Zeroes are

3. Given that 2 is a zero of the cubic polynomials , find its other two zeroes.

Answer: –

4. Find k so that is a factor of . Also find all the zeroes of the two polynomials.

Answer:

Zeroes of are

Zeroes of

5. Given that x – 5 is a factor of the cubic polynomial , find all the zeroes of the polynomial.

Answer:

6. For which values of a and b, are the zeroes of + an also the zeroes of the polynomial Which zeroes of p(x) are not the zeroes of q(x)?

Answer: ,