Question

x⁴-x²+x+1
?????????? ​

Answer 1

${x}^{4} - {x}^{2} + x + 1 = {x}^{2} ( {x}^{2} - 1) + (x + 1) = \\ = {x}^{2} (x - 1)(x + 1) + (x + 1) = (x + 1)( {x}^{2} (x - 1) + 1) = \\ = (x + 1)( {x}^{3} - {x}^{2} + 1)$

Answer 2

Объяснение:

х⁴ - х² + х + 1 = х² * (х² - 1) + х + 1 =

х² * (х - 1) * (х + 1) + х + 1 =

(х + 1) * (х² * (х - 1) + 1) = (х + 1)*(х³ - х² + 1)