Answer:
R = 0 and (x + 1) is a factor of p(x)
Step-by-step explanation:
Using the Remainder theorem
given p(x) is divided by a factor (x + h)
Then the remainder R is p(- h)
If p(- h) = 0 then (x + h) is a factor
factor (x + 1 ) ⇒ h = - 1
p(- 1) = 5[tex](-1)^{4}[/tex] + 6(- 1)³ + (- 1)² + 2(- 1) + 2
= 5 - 6 + 1 - 2 + 2 = 0 → R = 0
Hence x = - 1 is a root and (x + 1) is a factor
