SOLUTION: Given that {{{1+2i}}} and {{{1-2i}}} are zeros of {{{x^4-4x^3+6x^2-4x-15}}}, find the other zeros

Question 140325: Given that and are zeros of , find the other zeros

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
or Start with the given zeros

or Subtract 1 from both sides

or Square both sides

or Replace with -1

or Multiply

or Add 4 to both sides

or Foil and simplify

Now since is a factor of , we can use long division to find another factor

So another factor of is

Set the factor equal to zero

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

---------------------------------------

Answer:

So the other zeros are

or

RELATED QUESTIONS
Write a polynomial function of minimum degree with real coefficents whose zeros include... (answered by jsmallt9)

N =4; -4(⅓), and 2 +3i are zeros; f(1) = 100 1)Since 32+3i are zeros. Conjugate... (answered by greenestamps)

Find all zeros of the polynomial function. f(x)=x^3-5x^2-4x+60 ANSWER CHOICES... (answered by richwmiller)

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given... (answered by vabryant09)

N=3; 2 and 2i are zeros;... (answered by Boreal)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ikleyn)

Find all zeros of the function and write the polynomial as a product of linear factors.... (answered by KMST,ikleyn)

Form a polynomial f(x) with real coefficients, with leading coefficient 1,... (answered by Edwin McCravy)

Find a ploynomial equation given the zeros: 3+2i, 3-2i, -1 The f(x)= x^3-5x^2+__x+13... (answered by josmiceli)