Question

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: B. (x^2 − 4x + 1)

I hope this helps.

Answer 1

Answer:

Option (B)

Step-by-step explanation:

Given polynomial in the question is,

x³ - 7x² + 13x - 3

One factor of the polynomial is (x - 3).

That means x = 3 is a zero factor of the polynomial.

For the other factor,

By using synthetic division,

3 |   1         -7           13           -3

 

                  3           -12          3  

     1          -4            1            0

= (x² - 4x + 1)(x - 3)

Therefore, the other factor of the polynomial is (x² - 4x + 1).

Option (B) will be the answer.