Answer
$x^{4}$ + 2$x^{3}$ - 13$x^{2}$ + 26x - 8
Work Step by Step
($x^{2}$ - 3x + 4)($x^{2}$ + 5x - 2) =
Use the distributive property.
$x^{2}$($x^{2}$) +$x^{2}$(5x) +$x^{2}$(-2) -3x($x^{2}$) -3x(5x) -3x(-2) +4($x^{2}$) +4(5x) +4(-2) =
$x^{4}$ + 5$x^{3}$ - 2$x^{2}$ - 3$x^{3}$ - 15$x^{2}$ + 6x + 4$x^{2}$ + 20x - 8 =
Simplify.
$x^{4}$ + 2$x^{3}$ - 13$x^{2}$ + 26x - 8
