Question
Add $ \, \color{blue}{ 2x^2+5x-7 } \, $ and $ \, \color{orangered}{ 3-4x^2+6x }$.
Answer
$$ \left( \color{blue}{2x^2+5x-7} \right) + \left( \color{orangered}{3-4x^2+6x} \right) = -2x^2+11x-4 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 2x^2+5x-7 \\ Q(x) &= -4x^2+6x+3 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 2x^2 & 5x & -7 \\ \color{blue}{ + } & -4x^2 & 6x & 3 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 2x^2 & 5x & -7 \\ \color{blue}{ + } & -4x^2 & 6x & 3 \\ \hline & -2x^2 & 11x & -4 \end{array} $$This page was created using
Polynomial Operations Calculator