Question
Find roots of polynomial $$ p(x) = x^2-6x-16+x+2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 7\\[1 em]x_2 &= -2 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ x^2 \color{blue}{-6x} \color{red}{-16} + \color{blue}{x} + \color{red}{2} = x^2 \color{blue}{-5x} \color{red}{-14} $$Step 2:
The solutions of $ x^2-5x-14 = 0 $ are: $ x = -2 ~ \text{and} ~ x = 7$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.
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