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Dafna1 [17]
3 years ago
7

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

Mathematics
2 answers:
Nataliya [291]3 years ago
7 0

Answer:

(x² − 2x + 2) (x − 1)

Step-by-step 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)

Alla [95]3 years ago
6 0

Answer:

<h2>(x − 1)(x² − 2x + 2)</h2>

Step-by-step explanation:

<h3>Step 1: Write Expression Out </h3>

x³ - 3x² + 4x - 2

<h3>Step 2: Decide Which Method to Use</h3>

We will use the grouping method

<h3>Step 3: Factor out x - 1</h3>

(x - 1) (x² - 2x + 4 - 2)

<h3>Step 4: Simplify</h3>

(x − 1)(x² − 2x + 2)

<h3>Step 5: Check</h3>

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 :)

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