The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

1. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

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Class 10

Polynomials

Exercise 2.2

1. Find the zeroes of the following quadratic  polynomials and verify the relationship between the zeroes and the coefficients.

(i) x² – 2x – 8       

(ii) 4s² – 4s + 1                         

(iii) 6x² – 3 – 7x

(iv) 4u² + 8u                             

(v) t² – 15                                 

(vi) 3x² – x – 4

2. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

(i) (1over4), 1           

(ii) (sqrt{2}),(1 over 3)   

(iii) 0, (sqrt{5})

(iv) 1, 1   

(v) (-1 over 4),(1 over 4) 

(vi) 4, 1

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