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Anastasy [175]
3 years ago
13

F(x) = (x^3)-(3x^2)-3x+1 factor please

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

(x+1)(x²-4x+1)

Step-by-step explanation:

f(x) = x³-3x²-3x+1

     = (x³+1) - 3x (x+1)

     = (x+1)(x²-x+1) - 3x(x+1)

     = (x+1)(x²-x+1-3x)

     = <u>(x+1)(x²-4x+1)</u>

<u />

** (x+1)(x²-4x+1) = (x+1)((x-2)² - 3)

                        = (x+1)((x-2)² - (√3)²)

                        = (x+1)(x-2-√3)(x-2+√3)

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Answer

1) Productivity percentage change for each category

0. Units produced: ,0%

,

1. Last (hours): , -8.33%

,

2. Resin (pounded):, -10%

,

3. Capital invested ($): ,10%

,

4. Energy (BTU): ,-5%

2) Improvement for labour hours

The percentage change of the category "Last (hours)" has a negative value of -8.33%, which means that this value decreased by 8.33% with respect to the last year.

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