Question

cheak whether x + 1 is a factor of x^3 + x^2 + x +1​

Answer 1

Step-by-step explanation:

Let f(x) = x^3+x^2+x+1

According to remainder theorem, if f(x) divided by x+1, then f(-1) is remainder. (-1 is the 0 of the polynomial x+1)

So replace x everywhere with -1

F(-1) = -1+1-1+1 = 0

Since remainder is 0, x+1 is factor of x^3+x^2+x+1