Question
Subtract polynomials: $ \, \color{blue}{ -10x+3 } \, $ , $ \, \color{orangered}{ 7x^2+5x+10 }$.
Answer
$$ \left( \color{blue}{-10x+3} \right) - \left( \color{orangered}{7x^2+5x+10} \right) = -7x^2-15x-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & -10x & 3 \\ \color{red}{ - } & 7x^2 & 5x & 10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & & -10x & 3 \\ \color{red}{ - } & -7x^2 & -5x & -10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & -10x & 3 \\ \color{red}{ - } & -7x^2 & -5x & -10 \\ \hline & 7x^2 & -5x & 13 \end{array} $$This page was created using
Polynomial Operations Calculator