Question
Add $ \, \color{blue}{ 3x-7x^2+2 } \, $ and $ \, \color{orangered}{ 4x^2-5+6x }$.
Answer
$$ \left( \color{blue}{3x-7x^2+2} \right) + \left( \color{orangered}{4x^2-5+6x} \right) = -3x^2+9x-3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -7x^2+3x+2 \\ Q(x) &= 4x^2+6x-5 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -7x^2 & 3x & 2 \\ \color{blue}{ + } & 4x^2 & 6x & -5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -7x^2 & 3x & 2 \\ \color{blue}{ + } & 4x^2 & 6x & -5 \\ \hline & -3x^2 & 9x & -3 \end{array} $$This page was created using
Polynomial Operations Calculator