calculus

posted by .

find all zeros of the following polynomial. write the polynomial in factored form.

f(x)=x^3-3x^2+16x-48

  • calculus -

    Try + and - the prime factors of 48:
    1, 2, 3, 4, 6, 8, 12 and 16.
    When you find one that works, call it 'a' and divide the f(x) polymonial by (x-a) to get the quadratic factor. The other two roots can easily be found with that.

    It looks to me like one root is +3. Therefore x-3 is a factor.

    Now evaluate [x^3-3x^2+16x-48]/(x-3)

    It should give you a quadratic equation with no remainder. Factor that.

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. pre-calculus

    find the complex zeros of the polynomial function. write F in the factored form. f(X)=x^3-7x^2+20x-24 use the complex zeros to write f in factored form. f(x)= (reduce fractions and simplify roots)
  4. 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.
  5. 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
  6. Pre-Cal.

    find all the zeros of the following polynomial. Write the polynomial in fraction form. Show all the work. f(x)= x^4+3x^2-40
  7. calculus-can someone please help me with this ques

    Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the value …
  8. 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
  9. 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)
  10. Pre-Calculus

    Find all rational zeros of the polynomial, and write the polynomial in factored form?

More Similar Questions