Answer:
The binomial is a factor
Step-by-step explanation:
In order to show that x+3 is a factor of the polynomial, then;
f(a) = 0
Get a by equating x+3 to zero
x+3 = 0
x = -3
Get f(-3)
f(-3) = (-3)^4 + 8(-3)^3 + 11(-3)^2 -11(-3) + 3
f(-3) = 81 - 216 + 99 + 33 + 3
f(-3) = 216-216
f(-3) = 0
Since the remainder of the polynomial when divided by x+3 is zero, this shows that x+3 is a factor of the given polynomial
