Question

1. x + 1 is a factor of the polynomial
(i) x3 + x2 - x +1
(ii) x3 + x2 + x + 1
(iii) x4 + x3 + x2 + 1
(iv) x4
+ 3x2 + x +1
+ 3x3​

Answer 1

Answer:

I) x=2

II) x=0

III)x=2

iv)x=1

Answer 2

Answer:

x - 1 is a factor of x^3 + x^2 + x +1

Step-by-step explanation:

g(x) = x - 1

If g(x) = 0 then x = -1

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

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

       = -1 + 1 - 1 + 1

        = 0