Question

find the factors of x^3 +2x^2-x-2

Answer 1

Question :-

Find the factors of x³ + 2x² - x -2 .

Solution :-

x³ + 2x² - x -2

=> x² (x-2) -1(x-2)

=> (x-2)(x²-1)

=> (x-2)(x)²-(1)²

Using the identity a² - b² = (a+b)(a-b)

$\large{\boxed{\red{ (x-2)(x-1)(x+1)}}}$