Question

Decompose into partial fractions: $\frac{(3x+15)}{{(x+4)}^2}$. Find the number of terms after decomposition.

• A. $0$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is B $2$

We can write the equation $\frac{3x+15}{(x+4{)}^2}$ = $\frac{3(x+4)+3}{(x+4{)}^2}$

$\frac{3(x+4)+3}{(x+4{)}^2}$ $=\frac{3}{(x+4)}$ $+\frac{3}{(x+4{)}^2}$

So, there are total $2$ terms.