Answer:
[tex]\Huge\boxed{2x^3+5x^2-7x+20}[/tex]
Step-by-step explanation:
[tex]\text{Use FOIL:}\\\\(a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex](x+4)(2x^2-3x+5)\\\\=(x)(2x^2)+(x)(-3x)+(x)(5)+(4)(2x^2)+(4)(-3x)+(4)(5)\\\\=2x^3-3x^2+5x+8x^2-12x+20\\\\\text{combine like terms}\\\\=2x^3+(-3x^2+8x^2)+(5x-12x)+20\\\\=2x^3+5x^2-7x+20[/tex]
