Question
Add $ \, \color{blue}{ 5x^2-3 } \, $ and $ \, \color{orangered}{ 2x^2-3x^3 }$.
Answer
$$ \left( \color{blue}{5x^2-3} \right) + \left( \color{orangered}{2x^2-3x^3} \right) = -3x^3+7x^2-3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 5x^2-3 \\ Q(x) &= -3x^3+2x^2 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 5x^2 & -3 \\ \color{blue}{ + } & -3x^3 & 2x^2 & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 5x^2 & -3 \\ \color{blue}{ + } & -3x^3 & 2x^2 & \\ \hline & -3x^3 & 7x^2 & -3 \end{array} $$This page was created using
Polynomial Operations Calculator