Question

Use synthetic division to find the result when 3x^4 + 8x^3 + 5x^2 + 8x + 12 is
divided by x + 2.

Answer 1

Answer:

$\frac{3x^4+8x^3+5x^2+8x+12}{x+2}=3x^3+2x^2+x+6$

Step-by-step explanation:

-2 | 3 8  5   8 12

   __-6 -4 -2 -12

     3 2  1    6 | 0

Therefore, $\frac{3x^4+8x^3+5x^2+8x+12}{x+2}=3x^3+2x^2+x+6$