Question

(x+1) is a factor of which polynomial?
1) x^3-2x^2+x+2
2) x^3+2x^2+x-2
3) x^3+2x^2-x-2
4) x^3+2x^2-x+2

Answer 1

Step-by-step explanation:

Given: (x + 1),  (x^3 + x^2 - x - 1).

To find: Whether (x + 1) is a factor of  (x^3 + x^2 - x - 1).

Answer:

Using factor theorem x + 1 = 0.

x = 0 - 1

x = -1

Let p(x) =  (x^3 + x^2 - x - 1).

p(-1) = ((-1)^3 + (-1)^2 - (-1) - 1)

p(-1) = -1 + 1 + 1 - 1

p(-1) = 0

Therefore, (x + 1) is a factor of  (x^3 + x^2 - x - 1).

Therefore, (x + 1) is a factor of  (x^3 + x^2 - x - 1).Hope it helps :)

Answer 2

Answer:

(x+1) is factor of x^3+2x^2x-2

HOPE IT HELPS YOU MATE❤️