Question

Please help with #6. How do I find all of the real zeros? Thank you!!!

Answer 1

4 distinct zeroes

Explanation:

You can not find the zeroes without the equation.

But here, they are asking for the no. of zeroes. Just count the no. of x-intercepts.. which is 4

There are 4 distinct zeroes.

Degree is 5 (odd).

0 is one of the zeroes with multiplicity 2

Other 3 zeroes have a multiplicity of 1

Answer 2

I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.

Answer: there are 4 x intercepts (or 4 roots)