Question
Multiply polynomial $ \, \color{blue}{ 6x+3 } \, $ by $ \, \color{orangered}{ 4x+1 }$.
Answer
$$ \left( \color{blue}{6x+3} \right) \cdot \left( \color{orangered}{4x+1} \right) = 24x^2+18x+3 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ 6x+3}\right) \cdot \left( \color{orangered}{ 4x+1}\right) &= \underbrace{ \color{blue}{6x} \cdot \color{orangered}{4x} }_{\text{FIRST}} + \underbrace{ \color{blue}{6x} \cdot \color{orangered}{1} }_{\text{OUTER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{4x} }_{\text{INNER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{1} }_{\text{LAST}} = \\ &= 24x^2 + 6x + 12x + 3 = \\ &= 24x^2 + 6x + 12x + 3 = \\ &= 24x^2+18x+3; \end{aligned} $$This page was created using
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