Question
Add $ \, \color{blue}{ 3x^2-2 } \, $ and $ \, \color{orangered}{ 11-5x }$.
Answer
$$ \left( \color{blue}{3x^2-2} \right) + \left( \color{orangered}{11-5x} \right) = 3x^2-5x+9 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 3x^2-2 \\ Q(x) &= -5x+11 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & & -2 \\ \color{blue}{ + } & & -5x & 11 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & & -2 \\ \color{blue}{ + } & & -5x & 11 \\ \hline & 3x^2 & -5x & 9 \end{array} $$This page was created using
Polynomial Operations Calculator