Question

How do I simplify rational expressions in algebra 2

Answer 1

Given:

The expression is given as,

`(x^3-7x+12)/(9-x^2)`

The objective is to simplify the expression,

Step-by-step explanation:

Rearrange the given expression as,

`(x^3+0x^2-7x+12)/(-x^2+9)`

Now, divide the polynomials using long division method.

To find the quotient divide only the first term of the dividend and the first term of the divisor.

`(x^3)/(-x^2)=-x`

To perform division:

Now, the division can be calculated as,

Thus, the result can be written as,

`-x+(2x+12)/(9-x^2)`

Hence, the simplified expression is obtained.