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cluponka [151]
4 years ago
15

Select all polynomials that are divisible by (x-1).

Mathematics
1 answer:
goldenfox [79]4 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

*A(x)=3x³ + 2x² - x           This polynomial is not divisible by (x - 1)

                                       Factor completely    3x(x + 1)(3x - 1)

*B(x)=5x³ - 4x² - x            This polynomial is divisible by (x - 1)

                                       factor completely   3x(x - 1)(5x + 1)

*C(x)=2x³ - 3x² + 2x - 1     This polynomial is divisible by (x - 1)

                                        Synthetic division      2   - 3  + 2  -1      1

                                                                                   2    -1    1                

                                                                            2    -1      1    0

*D(x)=x³ + 2x² + 3x + 2   This polynomial is not divisible by (x - 1)

                                        Synthetic division    1    2   3   2   1

                                                                                1    3   6                      

                                                                           1    3   6   8                  

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