Question

Divide using synthetic division: (2x^4+2x^3+-12x^2+x+6)/(x+3)​

Answer 1

Synthetic division yields

..... || 2 2 -12 1 6

-3 || -6 12 0 -3

= = = = = = = = = = = = = =

..... || 2 -4 0 1 3

which translates to

`(2x^4+2x^3-12x^2+x+6)/(x+3)=2x^3-4x^2+1+\frac3{x+3}`