(i) p(x) = x + 5
Let p(x) =0, then,
p(x) = x + 5 = 0
x = 0 – 5
∴ x = -5
-5 is zero of
p(x).
(ii) p(x) = x – 5
If p(x) = 0, then
p(x) = x – 5 = 0
x = 0 + 5
∴ x = 5
5 is the zero of p(x).
(iii) p(x) = 2x + 5
If p(x)= 0, then
p(x) = 2x + 5 = 0
2x = – 5
∴ x = \(\frac{-5}{2}\)
\(\frac{-5}{2}\) is the zero of p(x).
(iv) p(x) = 3x – 2
If p(x)= 0, then
p(x) = 3x – 2 = 0
3x = 2
∴ x = \(\frac{2}{3}\)
\(\frac{2}{3}\) is the zero of p(x).
(v) p(x) = 3x
If p(x) = 0, then
p(x) = 3x = 0
∴ x = \(\frac{0}{3}\)
\(\frac{0}{3}\) is the zero of p(x)
(vi) p(x) = ax, a ≠ 0
If p(x)= 0, then
p(x) = ax = 0
∴ x = \(\frac{0}{a}\)
∴ x = ∞(infinity)
∞ is the zero of p(x).
(vii) p(x) = cx + d, c ≠ 0, c, d are real numbers
If p(x)= 0, then
p(x) = cx + d = 0
cx = 0 – d cx = -d
∴ x = - \(\frac{d}{c}\)
is the zero of p(x).
