Algebra Examples

$\frac{(5 a^{2} + 6 a - 9)}{(25 a^{4} + 19 a^{2} - a - 78)}$

Step 1

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

$25 a^{4}$

$0 a^{3}$

$19 a^{2}$

$a$

$78$

$5 a^{2}$

$6 a$

$9$

Step 2

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

$0 + \frac{25 a^{4} + 24 a^{2} + 5 a - 87}{25 a^{4} + 19 a^{2} - a - 78}$