Question
Multiply polynomial $ \, \color{blue}{ x } \, $ by $ \, \color{orangered}{ 2x^2+3x+4 }$.
Answer
$$ \color{blue}{x} \cdot \left( \color{orangered}{2x^2+3x+4} \right) = 2x^3+3x^2+4x $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{x} \cdot \left( 2x^2+3x+4 \right) &= \color{blue}{x} \cdot 2x^2 + \color{blue}{x} \cdot 3x + \color{blue}{x} \cdot 4 = \\ &= 2x^3+3x^2+4x \end{aligned} $$This page was created using
Polynomial Operations Calculator