Question

Please help! Simplify each rational expression. State any restrictions on the variables.

Answer 1

\[\frac{ 12-x-x ^2}{ x^2-8x+15 }\]

Answer 2

\(\large{ \cfrac{ 12-x-x ^2}{ x^2-8x+15 }\implies \cfrac{ -(x^2+x-12)}{ x^2-8x+15 }
\\ \quad \\
--------------------\\
\begin{array}{cccllll}
x^2&+x&-12\\
&\uparrow &\uparrow \\
&4-3&4\cdot -3
\end{array}\qquad \qquad
\begin{array}{cccllll}
x^2&-8x&+15\\
&\uparrow &\uparrow \\
&-3-5&-3\cdot -5
\end{array}}\)

Answer 3

Could you explain that to me? I don't get it.

Answer 4

have you done quadratic factoring yet?

Answer 5

Just a little bit @jdoe0001