Question

which statement best describes the graph of -x^3-x^2+4x+4?
a.it starts down on the left and goes up on the right and intersects the xaxis at x=-2,2 and 4

b.it starts down on the left and goes up on the right and intersects the xaxis at x=-2,-1 and 2

c.it starts up on the left and goes down on the right and intersects the xaxis at x=-2,-1 and 2

d.it starts up on the left and goes down on the right and intersects the xaxis at x=-2,2 and 4

Answer 1

@radar
@mathmale
@douglaswinslowcooper
@Ashleyisakitty

Answer 2

The first term of this polynomial function is the source of two very, very important bits of information: (1) the sign, and (2) the highest power (degree) of this function.

The sign is (-); do your best to explain what significance that has in graphing this function.

The highest power of x is x^3; what does the graph of y=x^3 look like?

Answer 3

I think its b @mathmale

Answer 4

I need for you to argue your cause. Why do you think b is correct? Why have you rejected the other alternatives? It's important to explain how you got y our result.

Answer 5

i graphed it and got this answer

Answer 6

Can you convince me that the roots / zeros of this function are {-2,-1 and 2}?

Answer 7

i just need to know if my answer is correct or not.

Answer 8

I offer you the chance to learn the reasoning that goes into solving this kind of problem. I will say "yes" or "no" or "right" or "incorrect only if you (or any other student) explains how you/she/he got the answer. So: if you'd like for me to confirm your answer, please demonstrate that -2, -1 and 2 are roots of this polynomial.

Answer 9

Hints: either show that -2 is a root of this polynomial, using synthetic division, or convert -2 into a factor, (x+2), and demonstrate that long division of your poly by (x+2) produces NO remainder.

Answer 10

Sorry. I really wanted to help you. If you change your mind and are willing to answer at least some of my questions, I'd be happy to step back into this conversation.