Question
Subtract polynomials: $ \, \color{blue}{ -5x^2-9x-5 } \, $ , $ \, \color{orangered}{ 4x^2-5x+3 }$.
Answer
$$ \left( \color{blue}{-5x^2-9x-5} \right) - \left( \color{orangered}{4x^2-5x+3} \right) = -9x^2-4x-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & -9x & -5 \\ \color{red}{ - } & 4x^2 & -5x & 3 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -5x^2 & -9x & -5 \\ \color{red}{ - } & -4x^2 & 5x & -3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & -9x & -5 \\ \color{red}{ - } & -4x^2 & 5x & -3 \\ \hline & -x^2 & -14x & -2 \end{array} $$This page was created using
Polynomial Operations Calculator