Find the zero of the polynomial in each of the following cases:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)are real numbers.
(i) p (x) = x + 5
p (x) = 0
x + 5 = 0
x = -5
Therefore, x = -5 is a zero of the polynomial p(x) = x + 5
(ii) p (x) = x – 5
p (x) = 0
x – 5 = 0
x = 5
Therefore, x = 5 is a zero of the polynomial p(x) = x - 5
(iii) p (x) = 2x + 5
P (x) = 0
2x + 5 = 0
2x = -5
x =
Therefore, x = is a zero of the polynomial p(x) = 2x + 5
(iv) p (x) = 3x – 2
p (x) = 0
3x – 2 = 0
x =
Therefore, x = is a zero of the polynomial p(x) = 3x - 2
(v) p (x) = 3x
p (x) = 0
3x = 0
x = 0
Therefore, x = 0 is a zero of the polynomial p(x) = 3x
(vi) p (x) = ax
p (x) = 0
ax = 0
x = 0
Therefore, x = 0 is a zero of the polynomial p(x) = ax
(vii) p (x) = cx + d
p (x) = 0
cx + d = 0
x =
Therefore, x = is a zero of polynomial p (x) = cx + d