Using synthetic division, what is the quotient (3x³ + 4x - 32) ÷ (x - 2)?

Solution:

Given, (3x³ + 4x - 32) ÷ (x - 2)

We have to find the quotient using synthetic division method.

By synthetic division,

1) Write down the coefficients of the term.

2) Drop down the first coefficient which is 3.

3) Now (2 x 3 = 6) place 6 under the second coefficient 0. Adding them we get 6.

4) We take this 6 and multiply by 2 and get 12. Place 12 under the third coefficient 4. Adding them we get 16.

5) Now multiply 16 by 2. We get 32. Place 32 under the fourth coefficient. Adding them we get 0.

Therefore, the quotient is 3x² + 6x + 16.

Using synthetic division, what is the quotient (3x³ + 4x - 32) ÷ (x - 2)?

Summary:

Using synthetic division, the quotient (3x³ + 4x - 32) ÷ (x - 2) is 3x² + 6x + 16.