Multiply polynomial $ \, \color{blue}{ 2d } \, $ by $ \, \color{orangered}{ d^5-7d^3+4 }$.
Answer
$$ \color{blue}{2d} \cdot \left( \color{orangered}{d^5-7d^3+4} \right) = 2d^6-14d^4+8d $$
Explanation
We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{2d} \cdot \left( d^5-7d^3+4 \right) &= \color{blue}{2d} \cdot d^5 + \color{blue}{2d} \cdot \left( -7d^3\right) + \color{blue}{2d} \cdot 4 = \\ &= 2d^6-14d^4+8d \end{aligned} $$This page was created using
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