Answer
$x^{4}$ + 7$x^{3}$ + 17$x^{2}$ + 23x + 12
Work Step by Step
($x^{2}$ + 2x + 3)($x^{2}$ + 5x + 4) =
Use the distributive property.
$x^{2}$($x^{2}$) +$x^{2}$(5x) +$x^{2}$(4) +2x($x^{2}$) +2x(5x) +2x(4) +3($x^{2}$) +3(5x) +3(4) =
$x^{4}$ + 5$x^{3}$ + 4$x^{2}$ + 2$x^{3}$ + 10$x^{2}$ + 8x + 3$x^{2}$ + 15x + 12 =
Simplify.
$x^{4}$ + 7$x^{3}$ + 17$x^{2}$ + 23x + 12
