Question
Multiply polynomial $ \, \color{blue}{ x+1 } \, $ by $ \, \color{orangered}{ 2x+2 }$.
Answer
$$ \left( \color{blue}{x+1} \right) \cdot \left( \color{orangered}{2x+2} \right) = 2x^2+4x+2 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ x+1}\right) \cdot \left( \color{orangered}{ 2x+2}\right) &= \underbrace{ \color{blue}{x} \cdot \color{orangered}{2x} }_{\text{FIRST}} + \underbrace{ \color{blue}{x} \cdot \color{orangered}{2} }_{\text{OUTER}} + \underbrace{ \color{blue}{1} \cdot \color{orangered}{2x} }_{\text{INNER}} + \underbrace{ \color{blue}{1} \cdot \color{orangered}{2} }_{\text{LAST}} = \\ &= 2x^2 + 2x + 2x + 2 = \\ &= 2x^2 + 2x + 2x + 2 = \\ &= 2x^2+4x+2; \end{aligned} $$This page was created using
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