# Find the zero of the polynomial in each of the following cases: (i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5

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Find the zero of the polynomial in each of the following cases:

(i) p(x) = x + 5

(ii) p(x) = x − 5

(iii) p(x) = 2x + 5

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

(i) p(x) = x + 5

p(x) = 0

x + 5 = 0

x = − 5

Therefore, for x = −5, the value of the polynomial is 0 and hence, x = −5 is a zero

of the given polynomial.

(ii) p(x) = x − 5

p(x) = 0

x − 5 = 0

x = 5

Therefore, for x = 5, the value of the polynomial is0 and hence, x = 5 is a zero of the given polynomial.

(iii) p(x) = 2x + 5

p(x) = 0

2x + 5 = 0

2x = − 5

x = - 5/2

Therefore, for x = - 5/2,the value of the polynomial is 0 and hence, x = - 5/2 is a zero of the given polynomal.