SOLUTION: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.

SOLUTION: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.

Algebra.Com

Question 1054587: Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The roots can be imaginary.
Suppose the equation is:

Find the roots:

Complete the square:

Take the square root of both sides

and, taking the negative ,

----------------
The roots are and
----------------
Here's the plot:

Note there are no x-crossings

RELATED QUESTIONS
Give an example and explain why a polynomial can have fewer x-intercepts than its number... (answered by macston)

what is the relationship between the zeros of a polynomial, the x-intercepts of the graph (answered by robertb)

Is it possible for a quadratic equation to have no real solution? give an example of a... (answered by Mathtut)

By looking at the first term of a polynomial, I can determine its degree. yes or no... (answered by Fombitz)

What does the degree of a polynomial expression tell you about its related polynomial... (answered by KMST)

please help me answer Explain what domain and range are, Under what circumstances... (answered by solver91311)

The variables height and weight could reasonably be expected to have a positive linear... (answered by stanbon)

Ernie Thayer1 hits a baseball and it travels for 409.6 feet before it lands. When he hits (answered by richard1234)

can the graph of a polynomial function have no y-intercepts? and no... (answered by solver91311)