Question

I need help in the attachment below, dont guess please

Answer 1

e. None of these

Explanation:

You want to know what the division (n² -8n +1)/(n +9) would look like if it were rewritten using the "split the fraction" technique.

Split the fraction

The fraction can be split by separating individual terms of the numerator:

`=(n^2)/(n+9)-(8n)/(n+9)+(1)/(n+9)`

or by rewriting the numerator so that numerator factors will cancel:

`=(n^2+9n)/(n+9)+(-17n-153)/(n+9)+(154)/(n+9)=(n-17)+(154)/(n+9)`

Note that in both of these cases, all of the denominators are (n+9), not n and not 9.

Partial fractions

If the denominator factors into binomials, the fraction can be written as the sum of partial fractions with those individual denominator factors in the denominators of the partial fractions.

None of these scenarios is shown in the answer choices. Those all attempt to split the denominator, which is something that cannot be done using the rules of algebra.