Asked by adrienne
solve the polynomial inequality and graph the solution set on a real number line. set in interval notation.
x^3+2x^2-4x-8>0
I have been staring at this problem for the last 15 minutes because I just don't understand it, somebody please help me?
x^3+2x^2-4x-8>0
I have been staring at this problem for the last 15 minutes because I just don't understand it, somebody please help me?
Answers
Answered by
Steve
x^3+2x^2-4x-8 > 0
(x+2)^2 (x-2) > 0
Now, you know that the graph touches the x-axis at x = -2 and cross it at x=2
Since y<0 for large x<0, that means that y<0 for x < -2, and stays <0 up to x=2, where it crosses the x-axis.
So, the solution set is x>2
(x+2)^2 (x-2) > 0
Now, you know that the graph touches the x-axis at x = -2 and cross it at x=2
Since y<0 for large x<0, that means that y<0 for x < -2, and stays <0 up to x=2, where it crosses the x-axis.
So, the solution set is x>2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.