Find the zeroes of the polynomial in each of the following,

Question:

Find the zeroes of the polynomial in each of the following,

(i) p(x)=x – 4          

(ii) g(x)= 3 – 6x

(iii) q(x) = 2x – 7    

(iv) h(y) = 2y

Solution:

(i) Given, polynomial is

p(x) = x- 4

For zero of polynomial, put p(x) = x-4 = 0

=> x= 4

Hence, zero of polynomial is 4.

(ii) Given, polynomial is

g(x) = 3-6x

For zero of polynomial, put g(x) = 0

3-6x= 0 => 6x =3 => x=1/2.

Hence, zero of polynomial is X

(iii) Given, polynomial is q(x) = 2x -7 For zero of polynomial, put q(x) =  2x-7 = 0

2x= 7 => x =7/2

Hence, zero of polynomial is

(iv) Given polynomial h(y) = 2 y For zero of polynomial, put h(y) = 0

2y= 0

Hence, the zero of polynomial is 0,

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