Subtract polynomials: $ \, \color{blue}{ 5x+x } \, $ , $ \, \color{orangered}{ 3x+4x }$.

$$ \left( \color{blue}{5x+x} \right) - \left( \color{orangered}{3x+4x} \right) = -x $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 6x \\ Q(x) &= 7x \\ \end{aligned} $$

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lr} & 6x \\ \color{red}{ - } & 7x \\ \hline \end{array} $$

Step 3: Change ALL the signs in the second row.

$$ \begin{array}{lr} & 6x \\ \color{red}{ - } & -7x \\ \hline \end{array} $$

Step 4: Combine like terms (add each column):

$$ \begin{array}{lr} & 6x \\ \color{red}{ - } & -7x \\ \hline & 13x \end{array} $$

Polynomial Operations Calculator