Using synthetic division, what is the quotient (2x3 + 3x − 22) ÷ (x − 2)? (16 points)

( 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 )

step-by-step explanation:

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: