Question
Add $ \, \color{blue}{ 4x^2+14+3x^2 } \, $ and $ \, \color{orangered}{ -3x^4-14x^2-8 }$.
Answer
$$ \left( \color{blue}{4x^2+14+3x^2} \right) + \left( \color{orangered}{-3x^4-14x^2-8} \right) = -3x^4-7x^2+6 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 7x^2+14 \\ Q(x) &= -3x^4-14x^2-8 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & 7x^2 & 14 \\ \color{blue}{ + } & -3x^4 & -14x^2 & -8 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & 7x^2 & 14 \\ \color{blue}{ + } & -3x^4 & -14x^2 & -8 \\ \hline & -3x^4 & -7x^2 & 6 \end{array} $$This page was created using
Polynomial Operations Calculator