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,