Question

Number of zeroes of given polynomial (x + 1)² (x + 2) (x - 3).

Answer 1

Polynomial, (x + 1)² (x + 2) (x - 3)

Zeroes

(x + 1)² = 0  

(x + 1)(x + 1) = 0

x + 1= 0, x + 1 = 0

x = - 1 , - 1

(x + 2) = 0

x = - 2

(x - 3) = 0

x = 3

Hence zeroes are  - 1 , -1 , - 2 , 3

Hence there are 4 zeroes.