Question
Subtract polynomials: $ \, \color{blue}{ p^2-5p+4 } \, $ , $ \, \color{orangered}{ 4p^2-9p+11 }$.
Answer
$$ \left( \color{blue}{p^2-5p+4} \right) - \left( \color{orangered}{4p^2-9p+11} \right) = -3p^2+4p-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & p^2 & -5p & 4 \\ \color{red}{ - } & 4p^2 & -9p & 11 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & p^2 & -5p & 4 \\ \color{red}{ - } & -4p^2 & 9p & -11 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & p^2 & -5p & 4 \\ \color{red}{ - } & -4p^2 & 9p & -11 \\ \hline & 5p^2 & -14p & 15 \end{array} $$This page was created using
Polynomial Operations Calculator