How do you divide (2x^3 - 11x^2 + 12x + 9)/(x-3)2x3−11x2+12x+9x−3?
2 Answers
The remainder is
Explanation:
Let's perform the synthetic division
The remainder is
Apply the remainder theorem
When a polynomial
Let
Then,
Here,
Therefore,
The remainder is
Explanation:
We can divide this polynomial by using synthetic division
We have ,
We take ,coefficients of
.
3 |3∣ 2color(white)(....)-11color(white)(.......)12color(white)(.......)9
ulcolor(white)()| ul(0color(white)( ..........)6color(white)(....)-15color(white)(...)-9
color(white)(......)2color(white)(......)-5color(white)(...)color(white)(..)-3color(white)(.....)color(violet)(ul|0|
We can see that , quotient polynomial :
Hence ,