Question

Find the value of a if x + 1 is a factor of p(x) = x3 + 3x2 +3x + a.

Answer 1

Answer:

a= 1

Step-by-step explanation:

X+1 is a factor

thus, x+1=0

x= -1 is a root

thus, p(-1) = (-1)³+3(-1)²+3(-1)+a = 0 (because it is a root)

p(-1) = -1+3-3+a = 0

thus, p(-1) = a -1 = 0

Thus, a = 1

note: we have used remainder theorem method