For the given functions f(x) and g(x), find f(x) ∙ g(x).
-$$f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 2 x + 7 , g ( x ) = - 5 x ^ { 3 }$$
A) $- 5 x ^ { 9 } + 20 x ^ { 6 } - 10 x ^ { 4 } - 35 x ^ { 3 }$
B) $- 5 x ^ { 9 } - 20 x ^ { 6 } + 10 x ^ { 4 } + 35 x ^ { 3 }$
C) $- 5 x ^ { 6 } - 20 x ^ { 5 } + 10 x ^ { 4 } + 35 x ^ { 3 }$
D) $- 5 x ^ { 6 } + 20 x ^ { 5 } - 10 x ^ { 4 } - 35 x ^ { 3 }$

Question

Quizplus · Accepted Answer

To find $f(x) \cdot g(x)$, multiply each term in $f(x)$ by each term in $g(x)$. The correct multiplication is $(-5x^3) \cdot (x^3) = -5x^6$, $(-5x^3) \cdot (-4x^2) = 20x^5$, $(-5x^3) \cdot (2x) = -10x^4$, and $(-5x^3) \cdot (7) = -35x^3$.

For the Given Functions F(x) and G(x), Find F(x) ∙ f(x)=x3−4x2+2x+7,g(x)=−5x3f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 2 x + 7 , g ( x ) = - 5 x ^ { 3 }f(x)=x3−4x2+2x+7,g(x)=−5x3

For the Given Functions F(x) and G(x), Find F(x) ∙ $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 2 x + 7 , g ( x ) = - 5 x ^ { 3 }$