college algebra

posted by .

find the complete zeros of the polynomial function. write f in factored form.
f(x)=x^3-7x^2+25x-39
please show all work. I do not understand this.

  • college algebra -

    we would let f(x)=x^3-7x^2+25x-39 = 0.

    we would factor to get (x-3)(x^ 2-4x+13).

    find the solutions to the second part (x^2-4x+13)using the quadratic formula. (the first part is x=3)

  • college algebra -

    i am not understanding why you put 0 for the first answer. it doesn't seem like you added or did any type of math to get the 0. can you explain more. this is all confusing to me.

  • college algebra -

    F(x) = Y = x^3 - 7x^2 + 25x - 39 = 0.
    The real solutions to the Eq are the x-intercepts or the points where the graph crosses the x-axis. The value of Y
    where the curve crosses the x-axis is 0.
    That is why Y is set to 0.

    All real values of X that satisfy the Eq
    is a real solution. It was found by trial and error that 3 gives a zero output(3,0).

    X = 3
    x-3 = 0 and it is a factor.
    Using long-hand division, we divide the
    Eq by x-3 and get x^2-4x+13. Now we have(x-3)(x^2-4x+13) = 0

    x = 4 +-sqrt(16-52)/2
    X = 4 +-sqrt(-36)/2
    x = (4 +-6i)/2 = 2 +- 3i

    Solution set:X = 3,(2+3i), and(2-3i).

  • college algebra -

    NOTE: There is only 1 zero(x=3),the
    final factored form is (x-3)(x^2-4x+13)=0.

    The solution set was not required.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. College Algebra

    Find all zeros of the following polynomial. Write th polynomial in factored form. f(x) = x^4 - 256
  2. college algebra

    find the complex zeros of the polynomial function. write f in factored form. use complex zeros to write f in factored form f(x)= x^3-6x^2+21x-26
  3. college algebra

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+37x-52
  4. algebra 2

    given the zeros,write a polynomial equation in factored form.zeros: -45,99,127,358 show all the step please.
  5. algebra 2

    given the zeros, write a polynomial equation in factored form.zero -5,9,12 show all the step please
  6. calculus

    find the complex zeros of the polynomial function. write f in factored form. f(x)=x^3-10x^2+42x-72 please show work.
  7. calculus

    can someone please help me find all the zeros of the following polynomial. write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 can you please show all work
  8. calculus

    Find the complex zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 Please show wrok, I do not understand how to do this.
  9. calculus--please help!!

    find the complete zeros of the polynomial function. Write f in factored form. f(x)=3x^4-10x^3-12x^2+122x-39 **Use the complex zeros to write f in factored form.** f(x)= Please show work
  10. algebra

    Find the complex zeros of the polynomial function. Write f in factored form. F(x)=x^3-8x^2+29x-52 Use the complex zeros to write f in factored form F(x)=____(reduce fractions and simplify roots)

More Similar Questions