Question

Which of the following represents the zeros of f(x) = x3 − 2x2 − 6x + 12?

−2, −square root of 6, −square root of 6
2, −square root of 6, −square root of 6
2, square root of 6, −square root of 6
−2, square root of 6, square root of 6

Answer 1

This is the right answer

x=2,√6,−√6

Answer 2

`f(x)=x^(3)-2x^(2)-6x+12 \\ \\ x^(3)-2x^(2)-6x+12=0 \\ \\ x^(2)(x-2)-6(x-2)=0 \\ \\ (x^(2)-6)(x-2)=0 \\ \\ (x- √(6))(x+ √(6))(x-2)=0 \\ \\ x- √(6)=0 \ \vee \ x+ √(6)=0 \ \vee \ x-2=0 \\ \\ x= √(6) \ \vee \ x=- √(6) \ \vee \ x=2 \\ \\ x\in \lbrace - √(6), 2, √(6) \rbrace`

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