ALGEBRA

posted by gigi

Find a degree 3 polynomial with real coefficients having zeros
2 and 4-3i and a lead coefficient of 1.

  1. Steve

    if the coefficients are real, then the complex roots occur in pairs. So, our polynomial is

    (x-2)(x-(4-3i))(x-(4+3i))
    (x-2)((x-4)+3i)((x-4)-3i)
    (x-2)((x-4)^2+3^2)
    ...

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Algebra

    Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all …
  2. Form a polynomial f(x) from coefficient and it's 0

    Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate …
  3. 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?
  4. algebra

    form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?
  5. college algebra--need help please!!

    information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.
  6. calculus--please help!!

    I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with …
  7. Algebra

    Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i
  8. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8,-6-i
  9. Algebra ll

    Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: 8, -6-i
  10. pre-calculus math

    A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over . 3, −3 − 2i;    degree …

More Similar Questions