Question

Multiple the polynomial by the monomial. (Simplify answer) 8r(2r^2 - 6r + 2)

Answer 1

We must multiply the monomial and the polynomial in the expression:

`8r\cdot(2r^2-6r+2)\text{.}`

Applying the distributive property for the multiplication, we get:

`\begin{gathered} 8r\cdot2r^2-8r\cdot6r+8r\cdot2 \\ =(8\cdot2)\cdot(r\cdot r^2)-(8\cdot6)\cdot(r\cdot r)+(8\cdot2)\cdot r^{} \\ =16\cdot r^3-48\cdot r^2+16\cdot r. \end{gathered}`

Answer

The result of the multiplication is the polynomial:

`16r^3-48r^2+16r`