Divide Using Long Polynomial Division ((3x-1)/(6x^4+x^3+8x^2+9x-4))

$(\frac{3 x - 1}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4})$

Step 1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$6 x^{4}$

$x^{3}$

$8 x^{2}$

$9 x$

$4$

$3 x$

$1$

Step 2

The final answer is the quotient plus the remainder over the divisor.

$0 + \frac{6 x^{4} + x^{3} + 8 x^{2} + 12 x - 5}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4}$