Step-by-step explanation:
Step 1: Factor by grouping
[tex]x^4 - 2x^3 + x - 2[/tex]
[tex]x^3(x - 2) + 1(x - 2)[/tex]
[tex](x^3 + 1)(x - 2)[/tex]
Step 2: Solve for x
[tex]x^3 + 1 = 0[/tex]
[tex]x^3 = -1[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{-1}[/tex]
[tex]x = -1[/tex]
[tex]x - 2 = 0[/tex]
[tex]x - 2 + 2= 0 + 2[/tex]
[tex]x = 2[/tex]
Answer: [tex]Option\ A, \ at\ -1 \ \& \ 2[/tex]
