Using synthetic division, what is the quotient (2x³ - 3x - 10) ÷ (x - 2)?

Solution:

Given, (2x³ - 3x - 10) ÷ (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 2.

3) Now (2.2 = 4) place 4 under the second coefficient 0. Adding them we get 4.

4) We take this 4 and multiply by 2 and get 8. Place 8 under the third coefficient 3. Adding them we get 5.

5) Now multiply 5 by 2. We get 10. Place 10 under the fourth coefficient. Adding them we get 0.

Therefore, the quotient is 2x² + 4x + 5.

Using synthetic division, what is the quotient (2x³ - 3x - 10) ÷ (x - 2)?

Summary:

Using synthetic division, the quotient (2x³ - 3x - 10) ÷ (x - 2) is 2x² + 4x + 5.