Find roots of polynomial $$ p(x) = 2x^2+x^2-2x-1 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1\\[1 em]x_2 &= -\frac{ 1 }{ 3 } \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{2x^2} + \color{blue}{x^2} -2x-1 = \color{blue}{3x^2} -2x-1 $$Step 2:
The solutions of $ 3x^2-2x-1 = 0 $ are: $ x = -\dfrac{ 1 }{ 3 } ~ \text{and} ~ x = 1$.
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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