Question
Multiply polynomial $ \, \color{blue}{ 3x+5 } \, $ by $ \, \color{orangered}{ -x+2 }$.
Answer
$$ \left( \color{blue}{3x+5} \right) \cdot \left( \color{orangered}{-x+2} \right) = -3x^2+x+10 $$
Explanation
In this example we are multiplying two binomials so FOIL method can be used.
$$ \begin{aligned} \left( \color{blue}{ 3x+5}\right) \cdot \left( \color{orangered}{ -x+2}\right) &= \underbrace{ \color{blue}{3x} \cdot \left( \color{orangered}{-x} \right) }_{\text{FIRST}} + \underbrace{ \color{blue}{3x} \cdot \color{orangered}{2} }_{\text{OUTER}} + \underbrace{ \color{blue}{5} \cdot \left( \color{orangered}{-x} \right) }_{\text{INNER}} + \underbrace{ \color{blue}{5} \cdot \color{orangered}{2} }_{\text{LAST}} = \\ &= -3x^2 + 6x + \left( -5x\right) + 10 = \\ &= -3x^2 + 6x + \left( -5x\right) + 10 = \\ &= -3x^2+x+10; \end{aligned} $$This page was created using
Polynomial Operations Calculator