Answer: f(x) · g(x)=-32x³+104x²-100x+100
Explanation:
Since we are given f(x) and g(x), all we have to do is multiply them together.
f(x) · g(x)=(4x-10)(-8x²+6x-10) [distribute by FOIL]
f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100 [combine like terms]
f(x) · g(x)=-32x³+104x²-100x+100
Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.