Question

How do I factor: x to the third minus 3x squared plus 4x minus 2

Answer 1

(x − 1)(x² − 2x + 2)

Explanation:

Step 1: Write Expression Out

x³ - 3x² + 4x - 2

Step 2: Decide Which Method to Use

We will use the grouping method

Step 3: Factor out x - 1

(x - 1) (x² - 2x + 4 - 2)

Step 4: Simplify

(x − 1)(x² − 2x + 2)

Step 5: Check

Multiply together to see if they match the original expression

(x − 1)(x² − 2x + 2)

x³ − 3x²+ 4x − 2 ✔

I'm always happy to help :)

Answer 2

(x² − 2x + 2) (x − 1)

Explanation:

Use grouping.

x³ − 3x² + 4x − 2

x³ − 3x² + 2x + 2x − 2

x (x² − 3x + 2) + 2 (x − 1)

x (x − 2) (x − 1) + 2 (x − 1)

(x (x − 2) + 2) (x − 1)

(x² − 2x + 2) (x − 1)