Answer
$2x^{3} + 11x^{2} + 22 x +15$
Work Step by Step
$2x(x^{2}+4x+5) + 3(x^{2}+4x+5)$
Multiply the trinomial by each term
$= 2x.x^{2} + 2x.4x + 2x.5 + 3.x^{2} + 3. 4x + 3. 5$
Multiply coefficients and add exponents.
$2x^{3} + 8x^{2} + 10x +3x^{2} +12x +15 $
Combine like terms.
$2x^{3} + (8+3)x^{2} + (10+12) x +15$
$2x^{3} + 11x^{2} + 22 x +15$
