SOLUTION: Find x and y intercepts of f F(x) = -x^2(x+4)(x^2+1)

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Question 761869: Find x and y intercepts of f
F(x) = -x^2(x+4)(x^2+1)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-x%5E2%28x%2B4%29%28x%5E2%2B1%29.......use zero product rule to find x-intercepts
0=-x%5E2%28x%2B4%29%28x%5E2%2B1%29
if 0=-x%5E2 => highlight%28x=0%29...real solution
if 0=x%2B4=> highlight%28x=-4%29...real solution
0=x%5E2%2B1=> x%5E2=-1=> x=sqrt%28-1%29 => highlight%28x=i%29 or highlight%28x=-i%29...complex solutions
x-intercepts are at (0,0) and (-4,0)
f%28x%29=-x%5E2%28x%2B4%29%28x%5E2%2B1%29.....set x=0 to find y-intercept
f%28x%29=-0%5E2%280%2B4%29%280%5E2%2B1%29
f%28x%29=-0%284%29%281%29
f%28x%29=highlight%28y=0%29
y-intercept is at (0,0)