Question

Determine which of the following polynomial has (X+1) factor x^4+2x^3+2x^2+X+1​

Answer 1

Answer:

Step-by-step explanation:

When x+1 is a factor, p(-1) = 0

p(x) = x⁴ + 2x³ + 2x² +x +1

p(-1) = (-1)⁴ + 2(-1)³ + 2(-1)² +(-1) + 1

= 1 + 2(-1) + 2(1) + (-1) + 1

= 1 -2 +2 -1 +1

=1

∵ (x+1) is not a factor of p(x) as p(x) ≠0