Subtract polynomials: $ \, \color{blue}{ x^2-3x+2 } \, $ , $ \, \color{orangered}{ x^3-3x^2+4x-2 }$.

$$ \left( \color{blue}{x^2-3x+2} \right) - \left( \color{orangered}{x^3-3x^2+4x-2} \right) = -x^3+4x^2-7x+4 $$

Step 1: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrrrr} & & x^2 & -3x & 2 \\ \color{red}{ - } & x^3 & -3x^2 & 4x & -2 \\ \hline \end{array} $$

Step 2: Change ALL the signs in the second row.

$$ \begin{array}{lrrrr} & & x^2 & -3x & 2 \\ \color{red}{ - } & -x^3 & 3x^2 & -4x & 2 \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrrrr} & & x^2 & -3x & 2 \\ \color{red}{ - } & -x^3 & 3x^2 & -4x & 2 \\ \hline & x^3 & -2x^2 & x & \end{array} $$

Polynomial Operations Calculator