One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

Given :

One root of a third degree polynomial function f(x) is –5 + 2i.

To Find :

The number and nature of all roots for this function.

Solution :

We know, there are exactly three roots in any third degree polynomial.

Also, we know complex roots always comes in pair i.e. the other root is the conjugate of each other .

So, other root is , -5 - 2i .

Also, since complex roots come in conjugate pair. So, third root cannot be complex.

Therefore, 2 roots are complex and 1 is real.

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.