Question

Use synthetic division to divide (x3 + 12x2 + 38x + 26) ÷ (x + 4)

Answer 1

Divisor is -4
Use coefficients 1    12    38    26

Bring down 1 multiply by -4 and add to 12 =8
Multiply 8 by -4 and add to 38 = 6 
Multiply 6 by -4 and add to 26 = 2 which is the remainder

looks like     1    12    38    26
                          -4   -32   -24
                    ________________
                     1     8      6     R 2
so answer A of x squared + 8x + 6 +R2 is correct

Answer 2

The answer to this question is a