Question

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

A. x2 + 8x + 6 R 2
B. x2 + 6x + 8 R –2
C. x2 – 14x +2 R 6
D. x2 – 2x + 6 R 8

Answer 1

the answer to this question is a

Answer 2

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