Question

Some steps to rewrite the expression x3 - x + 2x2 - 2 as a product of three factors are shown below:

Step 1: x3 - x + 2x2 - 2
Step 2: x3 + 2x2 - x - 2
Step 3: x2(x + 2) - 1(x + 2)

Which of the following best shows the next two steps to rewrite the expression?

Answer 1

Step 4: (x2 + 1)(x + 2); Step 5: (x + 1)(x + 1)(x + 2)
Step 4: (x2 - 1)(x + 2); Step 5: (x - 1)(x + 1)(x + 2)
Step 4: (x2 - 1)(x + 2); Step 5: (x + 1)(x + 1)(x + 2)
Step 4: (x2 + 1)(x + 2); Step 5: (x - 1)(x + 1)(x + 2)

Answer 2

C