Question

Mult a binomials by a trinomial

Answer 1

(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