Find the zero of the polynomial in each of the following cases:(i) p(x

1.	Find the zero of the polynomial in each of the following cases:(i) p(x) = 3x − 2 (ii) p(x) = 3x (iii) p(x) = ax, a ≠ 0
Answer» Zero of a polynomial is that value of the variable at which the value of the polynomial is obtained as 0. (i) p(x) = 3x − 2 p(x) = 0 3x − 2 = 0 x = 2/3 Therefore, for x = 2/3,the value of the polynomial is 0 and hence, x = 2/3 is a zero of the given polynomial. (ii) p(x) = 3x p(x) = 0 3x = 0 x = 0 Therefore, for x = 0, the value of the polynomial is 0 and hence, x = 0 is a zero of the given polynomial. (iii) p(x) = ax p(x) = 0 ax = 0 x = 0 Therefore, for x = 0, the value of the polynomial is 0 and hence, x = 0 is a zero of the given polynomial.

Find the zero of the polynomial in each of the following cases:(i) p(x) = 3x − 2 (ii) p(x) = 3x (iii) p(x) = ax, a ≠ 0

Answer»

Zero of a polynomial is that value of the variable at which the value of the polynomial is obtained as 0.

(i) p(x) = 3x − 2

p(x) = 0

3x − 2 = 0

x = 2/3

Therefore, for x = 2/3,the value of the polynomial is 0 and hence, x = 2/3 is a zero of the given polynomial.

(ii) p(x) = 3x p(x)

= 0 3x = 0

x = 0

Therefore, for x = 0, the value of the polynomial is 0 and hence, x = 0 is a zero of the given polynomial.

(iii) p(x) = ax p(x) = 0

ax = 0

x = 0

Therefore, for x = 0, the value of the polynomial is 0 and hence, x = 0 is a zero of the given polynomial.