Question

What is 2x^3-x^2+3 divided by x-3?

Answer 1

Answer: (A) 2x² + 5x + 15 +
`\bold{(48)/(x-3)}`

Explanation:

x - 3 = 0 ⇒ x = 3

Using synthetic division:

3 | 2 -1 0 3

| ↓ 6 15 45

2 5 15 48 ← remainder

Factored polynomial is: 2x² + 5x + 15 +
`(48)/(x-3)`