Post a New Question

College Algebra

posted by .

how do I find a 4th degree polynomial that has zeros; i,3i with f(-1)=60

I know the conjucants are -i and -3i

(x-i)(x-3i) (x+i)(x=3i)

  • College Algebra -

    So, multiply it out to get

    f(x) = a(x^2+1)(x^2+9) = a(x^4+10x^2+9)

    Now, f(-1) = a(1+10+9) = 20a, so we need a=3 and thus

    f(x) = 3(x^4+10x^2+9)

    BTW, that's "conjugates"

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Algebra

    I'm supposed to find a polynomial with specified Zeros. This is all the question told me: Degree: 4 Zeros: -2, 0, 2, 4 I know how to do these problems when it's a degree of 3, but not 4.
  2. College Algebra

    Find a polynomial of the specified degree that has the given zeros: Degree 4: zeros -1,1,3,5 (I know you would do... (x-(-1)) (x-1) (x-3) (x-5) but I don't know what to do after that. I know when it's a degree of 3 you just use FOIL …
  3. College Algebra

    OOPS I got the zeros wrong in the last post...please show work. Find a polynomial of the specified degree that has the given zeros Degree 4: zeros -2,0,2,4
  4. college algebra

    Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree 3; zeros: 1 + i and -10
  5. college algebra

    form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?
  6. college algebra

    form a polynomial f (x) with real coefficients having the given degree and zeros. degree 5; zeros 5; -i; -6+-i f(x)= a(?
  7. College algebra

    Form a polynomial f(x) with real coefficents having the given degree and zeros degree 5; zeros: 5; -i; -9 +i f(x)=a
  8. College algebra

    Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )
  9. College Algebra

    Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )
  10. College Algebra! help!

    Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )

More Similar Questions

Post a New Question