Show that the polynomial x + x + 1 has no first degree factors,

Question

a. Show that the polynomial x + x + 1 has no first degree factors, 

b. What is the remainder when the polynomial (x – 1) (x – 2) (x – 3) is divided by (x – 1)? 

c. When (x – 1) (x – 2) (x – 3) + 2x + k is divided by (x – 1), the remainder is 10. Then find out the remainder when it is divided by (x – 2).

Answer 1

p(2) = 4 + 8 = 12