If (x + 2)(3x^2 + x + 5) = Ax^3 + Bx^2 + Cx + D$, what is the value of A + B + 2C + 5D?
\(\left(x+2\right)\left(3x^2+x+5\right)\)
\(\mathrm{Distribute\:parentheses}\)
\(x\cdot \:3x^2+xx+x\cdot \:5+2\cdot \:3x^2+2x+2\cdot \:5\)
\(3x^3+7x^2+7x+10\)
Sub these in \(A + B + 2C + 5D\)
\(3+3+2(7)+5(10)\)
\(=70\)
-Vinculum