What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
simplifies to
\(x^7+4x^6+8x^5+16x^4+22x^3+19x^2+15x+7\)
and the coefficient will be 15