Respuesta :

2x³ + 0x² + 3x - 22 

2 | 2 + 0 + 3 - 22 
... . . .+ 4 + 8 + 22 
.. . 2 + 4 + 11 + 0 

Therefore, the quotient is 2x² + 4x + 11. 

Answer:

( 2x² + 4x + 11 )

Step-by-step explanation:

We have to find the quotient by synthetic division

( 2x³ + 3x - 22 ) ÷ ( x - 2 )

Numerator can be written as  2x³ + 0.x² + 3x - 22

Since ( x - 2 ) is a zero factor of this equation then we have to divide the coefficients by x = 2

2 |         2             0                3                      -22

             -             4                 8                       22

             2   4[(0+4)=4]     11[(3+8)=11]     0[(-22+22)=20]

Now the quotient will be ( 2x² + 4x + 11 )