(a+b ) • (c + d + e) = (a+b)• c + (a+b)•d. + (a+b)•e
(3x + 5)•( x^2 + 6x + 11) = (3x+5)•x^2 + (3x+5)•6x + (3x+5)•11
then
(3x+5)•x^2 = 3x^3 + 5x^2
(3x+5)•6x = 18x^2 + 30x
(3x+5)•11 = 33x + 55
Now add all this results, grouping similar exponents
= 3x^3 + (5x^2 + 18x^2) + (30x + 33x) + 55
= 3x^3 + 23x^2 + 63x + 55