Question
Subtract polynomials: $ \, \color{blue}{ -9r-4+14r^2 } \, $ , $ \, \color{orangered}{ 2r-11r^2+5 }$.
Answer
$$ \left( \color{blue}{-9r-4+14r^2} \right) - \left( \color{orangered}{2r-11r^2+5} \right) = 25r^2-11r-9 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 14r^2-9r-4 \\ Q(x) &= -11r^2+2r+5 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 14r^2 & -9r & -4 \\ \color{red}{ - } & -11r^2 & 2r & 5 \\ \hline \end{array} $$Step 3: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 14r^2 & -9r & -4 \\ \color{red}{ - } & 11r^2 & -2r & -5 \\ \hline \end{array} $$Step 4: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 14r^2 & -9r & -4 \\ \color{red}{ - } & 11r^2 & -2r & -5 \\ \hline & 3r^2 & -7r & 1 \end{array} $$This page was created using
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