Perform the division

Question

2z³-3z²+8z+6

      2z+1        =

Answer 1

Given: 2z³-3z²+8z+6 ÷ 2z+1        

 

This expression can be rewritten as follows:

(2z³-3z²+8z+6) ÷ (2z + 1) =

[z (2z² -3z + 8 + 6)] ÷ (2z + 1) =

[z (2z² - 3z + 14)] ÷ (2z + 1) =

[z(2z - 7)(z - 2)] ÷ (2z + 1).

This expression is the final expression.