Question
Subtract polynomials: $ \, \color{blue}{ 5x+6 } \, $ , $ \, \color{orangered}{ 5x^3+4x^2-9x+2 }$.
Answer
$$ \left( \color{blue}{5x+6} \right) - \left( \color{orangered}{5x^3+4x^2-9x+2} \right) = -5x^3-4x^2+14x+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & & 5x & 6 \\ \color{red}{ - } & 5x^3 & 4x^2 & -9x & 2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & & & 5x & 6 \\ \color{red}{ - } & -5x^3 & -4x^2 & 9x & -2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & & 5x & 6 \\ \color{red}{ - } & -5x^3 & -4x^2 & 9x & -2 \\ \hline & 5x^3 & 4x^2 & -4x & 8 \end{array} $$This page was created using
Polynomial Operations Calculator