Answer
$x^3+7x^2+14x+8$.
Work Step by Step
The given expression is
$=(x+4)(x^2+3x+2)$
Distribute $(x^2+3x+2)$ to each term of $(x+4)$.
$=x(x^2+3x+2)+4(x^2+3x+2)$
Use distributive property.
$=x(x^2)+x(3x)+x(2)+4(x^2)+4(3x)+4(2)$
Multiply.
$=x^3+3x^2+2x+4x^2+12x+8$
Combine like terms.
$=x^3+7x^2+14x+8$
Hence, the product is $x^3+7x^2+14x+8$.
