What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?
When you multiply two polynomials, each element in one is multiplied by each element in the other.
(x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7) x • 7 = 7x
(x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7) 1 • 8x = 8x
add them together 15x