Answer
$2x^2+11x+12$
Work Step by Step
RECALL:
$(a+b)(c+d)=ac+ad+bc+bd$
This formula is more popularly known as the FOIL method.
Use the formula above to obtain:
$(x+4)(2x+3)
\\=x(2x) +x(3) + 4(2x)+4(3)
\\=2x^2+3x+8x+12$
Combine like terms to obtain:
$=2x^2+(3x+8x)+12
\\=2x^2+(3+8)x+12
\\=2x^2+11x+12$
