Divide 3x³ - 2x² - 61x - 20 by x - 5.

Solution:

Given, the expression is 3x³ - 2x² - 61x - 20.

We have to divide the given expression by (x - 5).

By using long division,

By long division,

x - 5 ⟌3x³ - 2x² - 61x - 20(3x² + 13x + 4
          3x³ - 15x²
   --------------------------
               + 13x² - 61x - 20
                  13x² - 65x
            ---------------------------
                              4x - 20
                              4x - 20
                        -------------------
                                  0
                        --------------------

Therefore, the quotient is 3x² + 13x + 4.

Divide 3x³ - 2x² - 61x - 20 by x - 5.

Summary:

On dividing 3x³ - 2x² - 61x - 20 by x - 5, we get 3x² + 13x + 4.