Question
Multiply polynomial $ \, \color{blue}{ 5g+3 } \, $ by $ \, \color{orangered}{ g+8 }$.
Answer
$$ \left( \color{blue}{5g+3} \right) \cdot \left( \color{orangered}{g+8} \right) = 5g^2+43g+24 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ 5g+3}\right) \cdot \left( \color{orangered}{ g+8}\right) &= \underbrace{ \color{blue}{5g} \cdot \color{orangered}{g} }_{\text{FIRST}} + \underbrace{ \color{blue}{5g} \cdot \color{orangered}{8} }_{\text{OUTER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{g} }_{\text{INNER}} + \underbrace{ \color{blue}{3} \cdot \color{orangered}{8} }_{\text{LAST}} = \\ &= 5g^2 + 40g + 3g + 24 = \\ &= 5g^2 + 40g + 3g + 24 = \\ &= 5g^2+43g+24; \end{aligned} $$This page was created using
Polynomial Operations Calculator