SOLUTION: Which statements are true about the polynomial function f(x) = -x^3 - 4x^2 - x - 4 Select each correct answer. A. (x + 4) is a factor of f(x) B. (x + 1) is not a factor

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Which statements are true about the polynomial function f(x) = -x^3 - 4x^2 - x - 4 Select each correct answer. A. (x + 4) is a factor of f(x) B. (x + 1) is not a factor      Log On


   

Question 1204679: Which statements are true about the polynomial function
f(x) = -x^3 - 4x^2 - x - 4
Select each correct answer.
A. (x + 4) is a factor of f(x)

B. (x + 1) is not a factor of f(x)

C. f(x) = 0 when x = -1

D. f(-1) = 0
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Graph shows zero at x=-4. No other Real zeros.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+-x%5E3+-+4x%5E2+-+x+-+4...factor
f%28x%29+=+-%28x+%2B+4%29+%28x%5E2+%2B+1%29

Real root:
x=4
Complex roots:
x=i
x=-i


answer is:
A. %28x+%2B+4%29 is a factor of f%28x%29
B. %28x+%2B+1%29 is not a factor of f%28x%29