Use a vertical format to add the polynomials.
-$$\begin{array} { l }
- \frac { 1 } { 5 } x ^ { 2 } + \frac { 2 } { 3 } x + \frac { 2 } { 5 } \
- \frac { 3 } { 5 } x ^ { 2 } + \frac { 3 } { 4 } x - \frac { 1 } { 3 } \
\hline
\end{array}$$
A) $- \frac { 4 } { 5 } x ^ { 2 } + \frac { 17 } { 12 } x + \frac { 1 } { 15 }$
B) $- \frac { 4 } { 5 } x ^ { 4 } + \frac { 17 } { 12 } x ^ { 2 } + \frac { 1 } { 15 }$
C) $\frac { 6 } { 5 } x ^ { 2 } + 5 x - \frac { 4 } { 3 }$
D) $\frac { 37 } { 60 } x ^ { 6 } + \frac { 1 } { 15 }$

Question

Use a vertical format to add the polynomials.
-$$\begin{array} { l } 
- \frac { 1 } { 5 } x ^ { 2 } + \frac { 2 } { 3 } x + \frac { 2 } { 5 } \
- \frac { 3 } { 5 } x ^ { 2 } + \frac { 3 } { 4 } x - \frac { 1 } { 3 } \
\hline
\end{array}$$
A) $- \frac { 4 } { 5 } x ^ { 2 } + \frac { 17 } { 12 } x + \frac { 1 } { 15 }$
B) $- \frac { 4 } { 5 } x ^ { 4 } + \frac { 17 } { 12 } x ^ { 2 } + \frac { 1 } { 15 }$
C) $\frac { 6 } { 5 } x ^ { 2 } + 5 x - \frac { 4 } { 3 }$
D) $\frac { 37 } { 60 } x ^ { 6 } + \frac { 1 } { 15 }$

Quizplus · Accepted Answer

Adding the polynomials vertically, we combine like terms: $-\frac{1}{5}x^2 - \frac{3}{5}x^2 = -\frac{4}{5}x^2$, $\frac{2}{3}x + \frac{3}{4}x = \frac{17}{12}x$, and $\frac{2}{5} - \frac{1}{3} = \frac{1}{15}$. This results in $-\frac{4}{5}x^2 + \frac{17}{12}x + \frac{1}{15}$.

Use a Vertical Format to Add the Polynomials A) −45x2+1712x+115- \frac { 4 } { 5 } x ^ { 2 } + \frac { 17 } { 12 } x + \frac { 1 } { 15 }−54​x2+1217​x+151​

Use a Vertical Format to Add the Polynomials A) $- \frac { 4 } { 5 } x ^ { 2 } + \frac { 17 } { 12 } x + \frac { 1 } { 15 }$