Question

What is the result when 9x3 + 27x? + 11x + 1 is divided by 3x + 1?

Answer 1

The given division is

$\frac{9x^3+27x^2+11x+1}{3x+1}$

We can do the division as follows

x3 x2 x

9 27 11 1 |3x + 1|

-9 -3 3x2 + 8x + 1

0 24

-24 -8

0 3 1

-3 -1

0 0

As you can observe, the quotient is

$3x^2+8x+1$