Question

Which of the following represents the zeros of f (x)=x^3-2x^2-6x+12

Answer 1

F(x) = x^3 - 2x^2 - 6x + 12 = 0

lets try  substituting some of the factors of 12:-

f(2)  = 8 - 8 -12+12 = 0    So one  zero is x = 2 Answer

Dividing f(x) by (x - 2) we get:-

x^2 - 6   so the other 2 zeros are  sqrt6 and - sqrt6 or 2.45 and -2.45 to the nearest hundredth  Answer