How many imaginary zeros

Save my name, email, and website in this browser for the next time I comment. Skip to content. Home » Math Math. October 26, thanh. State how many imaginary and real zeros the function has. The function has two imaginary and two real zeros. So, we have to try You will see that 4 is a root. So, we can divide We can repeat the process, and check all the divisors of -4, i.

You'll see that 4 is again a root, and we have Now we have a quadratic polynomial which we can simply solve: So, the roots of this polynomials are 4 twice , i and -i. Option C - 0 imaginary ; 5 real. Since the total number of zeros of f x is 4 , that means it has 0 or 2 non-Real Complex zeros. How do you determine the number of complex roots of a polynomial of degree n?

George C. Sep 20, See explanation Related questions How do you solve radical equations? What are Radical Equations?

How do you solve radical equations with cube roots? First, rewrite the polynomial from highest to lowest exponent ignore any "zero" terms, so it does not matter that x 4 and x 3 are missing :. Then, count how many times there is a change of sign from plus to minus, or minus to plus :. Having complex roots will reduce the number of positive roots by 2 or by 4, or 6, So in our example from before, instead of 2 positive roots there might be 0 positive roots:.

The number of positive roots equals the number of sign changes , or a value less than that by some multiple of 2.