Question
Subtract polynomials: $ \, \color{blue}{ 7x^2-30x } \, $ , $ \, \color{orangered}{ -4x^{27}-4 }$.
Answer
$$ \left( \color{blue}{7x^2-30x} \right) - \left( \color{orangered}{-4x^{27}-4} \right) = 4x^{27}+7x^2-30x+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & 7x^2 & -30x & \\ \color{red}{ - } & -4x^{27} & & & -4 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & & 7x^2 & -30x & \\ \color{red}{ - } & 4x^{27} & & & 4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & 7x^2 & -30x & \\ \color{red}{ - } & 4x^{27} & & & 4 \\ \hline & -4x^{27} & 7x^2 & -30x & -4 \end{array} $$This page was created using
Polynomial Operations Calculator