Respuesta :
Answer:
B. 1.-1,-2
Step-by-step explanation:
[tex]g(x) = x ^{3} + 2 {x}^{2} - x - 2[/tex]
Substitute g(x)=0
[tex]0 = {x}^{3} + 2 {x}^{2} - x - 2[/tex]
Move the expression to the left
[tex]0 - {x}^{3} - 2 {x}^{2} + x + 2 = 0[/tex]
Factor out -x^2 from the expression
[tex] - {x}^{2} \times (x + 2) + x + 2 = 0[/tex]
Factor out (x+2) from the expression
[tex](x + 2) \times ({x}^{2} + 1) = 0[/tex]
When the product of the factor equals 0, at least one factor is 0
[tex]x + 2 = 0[/tex]
[tex] - {x}^{2}+ 1 > = 0[/tex]
Solve for x
[tex]x = - 2 \\ x = - 1\\ x = 1[/tex]
Answer:
B. 1.-1,-2
Step-by-step explanation:
just did this one
