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One factor of the polynomial x^3 - 7x^2 + 13x - 3 is (x-3). What is the other factor of the polynomial? (Note: use long or synthetic division.) a. (X^2 + 4x - 1) b. (X^2 - 4x + 1) c. (X - 4) d. (X+4)

Answer :

mathstudent55

Answer:

b.   x^2 - 4x + 1

Step-by-step explanation:

Here is the long division.

                     x^2 - 4x + 1

                 -------------------------------

       x - 3   | x^3 - 7x^2 + 13x - 3

                   x^3 - 3x^2

                 -----------------

                          -4x^2 + 13x

                          -4x^2 + 12x

                        ------------------

                                           x - 3

                                           x - 3

                                        ----------

                                                0

Answer: b.   x^2 - 4x + 1

The other factor of the polynomial is x² - 4x + 1 option (b) is correct after using the long division.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have:

One factor of the polynomial x³ - 7x² + 13x - 3 is (x-3).

By using the long division:

                x² - 4x + 1

                -------------------------------

      x - 3   | x³ - 7x² + 13x - 3

                  x³ - 3x²

                -----------------

                         -4x² + 13x

                         -4x² + 12x

                       ------------------

                                     x - 3

                                     x - 3

                                   ----------

                                         0

Thus, the other factor of the polynomial is x² - 4x + 1 option (b) is correct after using the long division.

Learn more about Polynomial here:

brainly.com/question/17822016

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