Question
Add $ \, \color{blue}{ 3x^2-2x+1 } \, $ and $ \, \color{orangered}{ 9-x^2+3x+1 }$.
Answer
$$ \left( \color{blue}{3x^2-2x+1} \right) + \left( \color{orangered}{9-x^2+3x+1} \right) = 2x^2+x+11 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 3x^2-2x+1 \\ Q(x) &= -x^2+3x+10 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & -2x & 1 \\ \color{blue}{ + } & -x^2 & 3x & 10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & -2x & 1 \\ \color{blue}{ + } & -x^2 & 3x & 10 \\ \hline & 2x^2 & x & 11 \end{array} $$This page was created using
Polynomial Operations Calculator