Question

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

i) f(x) = x + 2

ii) f(x) = x – 2

iii) f(x) = 2x + 3

iv) f(x) = 2x – 3

v) f(x) = x²

vi) f(x) = px, p ≠ 0

vii) f(x) = px + q; p ≠ 0; p, q are real numbers.

Answer 1

i) x + 2 = 0 

x = – 2

ii) x – 2 = 0 

x = 2

iii) 2x + 3 = 0 

2x = – 3

x = -3/2

iv) 2x – 3 = 0 

2x = 3 

x = 3/2

v) x² = 0 

x = 0

vi) px = 0 

x = 0

vii) px + q = 0 

px = -q

x = -q/p