Question

x+1 is a factor of the polynomial ​

Answer 1

Answer:

Using factor theorem x + 1 = 0. Let p(x) = (x^3 + x^2 - x - 1). Therefore, (x + 1) is a factor of (x^3 + x^2 - x - 1).

Answer 2

Answer:

(b) Let assume (x + 1) is a factor of x3 + x2 + x+1.

So, x = -1 is zero of x3 + x2 + x+1

(-1)3 + (-1)2 + (-1) + 1 = 0 ⇒ -1+1-1 + 1 = 0 ⇒ 0 = 0 Hence, our assumption is true.