What is the standard form of a polynomial (4x^2 - 3x + 2) (2x^2 + 5x - 7)?

Oct 14, 2017

$8 {x}^{4} + 4 {x}^{3} - 39 {x}^{2} + 31 x - 14$

Explanation:

$= 8 {x}^{4} - 6 {x}^{3} + 4 {x}^{2} + 10 {x}^{3} - 15 {x}^{2} + 10 x - 28 {x}^{2} + 21 x - 14$

Rearranging like terms together,
P$= 8 {x}^{4} - 6 {x}^{3} + 10 {x}^{3} + 4 {x}^{2} - 15 {x}^{2} - 28 {x}^{2} + 10 x + 21 x - 14$

Further simplifying,
$= 8 {x}^{4} + 4 {x}^{3} - 39 {x}^{2} + 31 x - 14$