Question

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

Answer 1

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

Step-by-step 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 + $\dfrac{48}{x-3}$