Question

factorise: x³+x²+x+1​

Answer 1

Answer:

(i) x³ + x² + x + 1 Let x + 1 is a factor of given polynomial. Now, x + 1 = 0 x = -1 p(-1) = (-1)³ + (-1)² + (-1) + 1 = -1 + 1 - 1 + 1 = 2 - 2 = 0 Therefore, It is confirmed that x + 1 is a factor of x³ + x² + x + 1.

Answer 2

Answer:

(x+1) (x-1) (x-2)

Step-by-step explanation:

x^2(x-2)-1(x-2)

(x^2-1)(x-2)

(x^2-1^2)(x-2)

(x+1)(x-1)(x-2)