4. Find the Zero of the polynomial in each of the following cases.
i)$$p(x) = x + 5$$
ii)$$p(x) = x - 5$$
iii)$$p(x) = 2x + 5$$
iv)$$p(x) = 3x - 2$$
v)$$p(x) = 3x$$
vi)$$p(x) = ax, a \ne 0$$
vii)$$p(x) = cx + d ,c \ne 0$$, c,d, are real numbers.

i)We have, $$p(x) = x + 5$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$x + 5 = 0$$
i.e. x = -5
Hence, -5 is the zero of given ploynomial.

ii)We have, $$p(x) = x - 5$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$x - 5 = 0$$
i.e. x = 5
Hence, 5 is the zero of given ploynomial.

iii)We have, $$p(x) = 2x + 5$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$2x + 5 = 0$$
i.e. x = -5/2
Hence, -5/2 is the zero of given ploynomial.

iv)We have, $$p(x) = 3x - 2$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$3x - 2 = 0$$
i.e. x = 2/3
Hence, 2/3 is the zero of given ploynomial.

v)We have, $$p(x) = 3x$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$3x = 0$$
i.e. x = 0
Hence, 0 is the zero of given ploynomial.

vi)We have, $$p(x) = ax$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$ax = 0$$
i.e.$$x = 0, a \ne 0$$
Hence, 0 is the zero of given ploynomial.

vii)We have, $$p(x) = cx + d$$
We also know that, if p(x) = 0 then x is the Zero of the polynomial.
Therefore, p(x) = 0
i.e. $$cx + d = 0$$
i.e.$$x = -d/c, c \ne 0$$
Hence, -d/c is the zero of given ploynomial.