Question

Use synthetic division to divide (x3 + x2 – 40x – 4) ÷ (x – 6).

A. x2 + 7x + 2 R 8
B. x3 + 6x – 1 R 2
C. x2 + 5x – 2 R 6
D. x2 – 7x + 3 R 5

Answer 1

A. x^2 + 7x + 2 R 8

Explanation:

(x^3 + x^2 – 40x – 4) ÷ (x – 6).

6 | +1 1 - 40 -4

| 6 42 12

------|----------------------------------------------------

| 1 7 2 | 8

x^2 + 7x + 2 + [8/(x - 6)]

Answer:

A. x^2 + 7x + 2 R 8