Using synthetic division, what is the quotient (2x3 + 3x − 22) ÷ (x − 2)?

A) 2x2 + 4x − 11
B) 2x2 + 4x + 11
C) 2x2 − 4x − 11
D) 2x2 − 4x + 11 + 3 over the quantity of x minus 2

Respuesta :

Answer:

B.  [tex]2x^2+4x+11[/tex]

Step-by-step explanation:

The given expression is

[tex]2x^3+3x-22 \div x-2[/tex]

We use synthetic division to obtain;

      2     0    3     -22  

2|           4    8      22

     2     4    11        0

The quotient is  [tex]2x^2+4x+11[/tex]

The correct chice is B