Pre-calculus-check answers

posted by .

Write the polynomial equation of least degree that has the roots: -3i, 3i, i, and -i.

Answer:
(x+3i)(x-3i)(x-i)(x+i)=x^4+x^3-x^3i+9x^2+9x-9xi-9i

2)Determine if the expression 4m^5-6m^8+m+3 is a polynomial in one variable. If so, state the degree.

Answer: It is a polynomial in one variable; Degree = 8

Thanks

  • Pre-calculus-check answers -

    your first one would be
    (x+3i)(x-3i)(x-i)(x+i) which is what you had, but then
    =(x^2 - 9i^2)(x^2 - i^2) remember i^2 = -1
    = (x^2 + 9)(x^2 + 1)
    = .... you can finish that

    your second question is correct

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Polynomials

    Determine if the expression 4m^5-6m^8 is a polynomial in one variable. If so, state the degree. I really don't understand how to do this, and I can find it in my pre-calculus book.
  2. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  3. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  4. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  5. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  6. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  7. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  8. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  9. algebra

    can some one please help figure this problem out Determine whether each expression is a polynomial.If it is a polynomial, state the degree of the polynomial. 5x^3+2xy^4+6xy can someone please help me
  10. Pre-Calculus/Trig Check please and help

    Could someone please check the first one and help me with the second one. I'm stuck-Thank you 1.What are theroots of the following polynomial equation?

More Similar Questions