Question

Find the quotient and remainder when 3x^3-4x^2-5 is divided by 3x+1 using synthetic division​

Answer 1

Answer:

Q=x^2-5x/3

R=5 (x-3)/3

Step-by-step explanation:

3×^2-4x^2-5/3x+1

Answer 2

Given:

3x^3-4x^2-5, 3x+1

To find:

Find the quotient and remainder when 3x^3-4x^2-5 is divided by 3x+1 using synthetic division​

Solution:

From given, we have,

3x^3 - 4x^2 - 5 is divided by 3x+1 using synthetic division​

3x + 1 ) 3x³ - 4x² - 5 ( x² - 5x/3 + 5/9

           3x³ +  x²

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

                 -5x² - 5

                  5x² - 5x/3

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

                          5x/3 - 5

                          5x/3 + 5/9

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

                                  - 50/9

The quotient and remainder when 3x^3-4x^2-5 is divided by 3x+1 using synthetic division​ are x² - 5x/3 + 5/9 and -50/9 respectively.