Math - Find all roots

posted by .

Find all roots:

#1.) 2x^3 + 5x^2 - 22x + 15 = 0

#2.) x^4 + 4x^3 + 6x^2 + 8x + 8 = 0

  • Math - Find all roots -

    #1
    2x^3 + 5x^2 - 22x + 15 = 0
    Did you notice that the coefficients of the equation add up to zero?
    This means that (x-1) is a factor.
    Divide the left-hand-side by (x-1) using long division and solve the resulting quadratic equation by factoring.

    #2
    If the coefficient of x^4 is 1 and the constant term is 8, the possible real rational factors are (x+1), (x+2), (x+4) or (x+8). Try these factors and reduce the expression by long division. Repeat until no more factors can be found.
    Hint: there are two complex roots for this equation, so you will only find two real roots.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Roots Ok, what about roots? Roots of polynomials?
  2. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary …
  3. algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.
  4. algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the roots of the problem.
  5. college algebra

    Radical and Rational Exponent find roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 this is my answer am I right. check this for me it find the roots of the problem
  6. Math

    Find all integer roots of f(x). Identify any double roots. f(x) = 2x4 + 11x3 + 13x2 - 11x - 15
  7. Math

    Find all integer roots of f(x). Identify any double roots. f(x) = 3x4 - 16x3 + 31x2 - 26x + 8
  8. Algebra 2

    How do I solve polynomial equation by finding all complex roots?
  9. Pre calculus

    Find all roots f(x)- x^3+2x^2-15x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, -1, 2, -2 What do you do if you cannot find a root?
  10. Algebra 2

    1) Find the roots of the polynomial equation. x^3-2x^2+10x+136=0 2) Use the rational root theorem to list all problem rational roots of the polynomial equation. x^3+x^2-7x-4=0. Do not find the actual roots.

More Similar Questions