Question

Select the correct answer

Answer 1

Answer:

B. 1.-1,-2

Step-by-step explanation:

$g(x) = x ^{3} + 2 {x}^{2} - x - 2$

Substitute g(x)=0

$0 = {x}^{3} + 2 {x}^{2} - x - 2$

Move the expression to the left

$0 - {x}^{3} - 2 {x}^{2} + x + 2 = 0$

Factor out -x^2 from the expression

$- {x}^{2} \times (x + 2) + x + 2 = 0$

Factor out (x+2) from the expression

$(x + 2) \times ({x}^{2} + 1) = 0$

When the product of the factor equals 0, at least one factor is 0

$x + 2 = 0$

$- {x}^{2}+ 1 > = 0$

Solve for x

$x = - 2 \\ x = - 1\\ x = 1$