Question
Add $ \, \color{blue}{ -x^2+5x-4 } \, $ and $ \, \color{orangered}{ 8x-3x^2+9 }$.
Answer
$$ \left( \color{blue}{-x^2+5x-4} \right) + \left( \color{orangered}{8x-3x^2+9} \right) = -4x^2+13x+5 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -x^2+5x-4 \\ Q(x) &= -3x^2+8x+9 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & 5x & -4 \\ \color{blue}{ + } & -3x^2 & 8x & 9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & 5x & -4 \\ \color{blue}{ + } & -3x^2 & 8x & 9 \\ \hline & -4x^2 & 13x & 5 \end{array} $$This page was created using
Polynomial Operations Calculator