Answer
$x^2+8x+15$
Work Step by Step
Use FOIL method.
$(x+3)(x+5)=x\cdot x+x\cdot 5+3\cdot x+3\cdot 5$
Simplify.
$=x^2+5 x+3x+15$
Combine like terms.
$=x^2+8x+15$
Hence, the single polynomial answer in standard form is $x^2+8x+15$.