If x = 1 is a zero of the polynomial x3 - 7x + 6, find the other two zeroes.

x = - 3, x = 2

Step-by-step explanation:

Since x = 1 is a zero then (x - 1) is a factor of the polynomial

dividing x³ - 7x + 6 : (x - 1)

= (x - 1) (x² + x - 6)

= (x - 1) (x + 3) (x - 2)

equating (x + 3) (x - 2) = 0 gives the other zeros

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2