Subtract polynomials: $ \, \color{blue}{ -x^2-4x+1 } \, $ , $ \, \color{orangered}{ 2x^2+9 }$.
Answer
$$ \left( \color{blue}{-x^2-4x+1} \right) - \left( \color{orangered}{2x^2+9} \right) = -3x^2-4x-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & -4x & 1 \\ \color{red}{ - } & 2x^2 & & 9 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -x^2 & -4x & 1 \\ \color{red}{ - } & -2x^2 & & -9 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & -4x & 1 \\ \color{red}{ - } & -2x^2 & & -9 \\ \hline & x^2 & -4x & 10 \end{array} $$This page was created using
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