Math

posted by .

Please help me factor this.
x(-x^3-4x^2+3x+18) (using synthetic division please.) Thank You.

  • Math -

    The possible rational factors are (+/-){factors of 18}/{factors of 1}: 18 is the coefficient of the x^0 term, and 1 is the coefficient of the greatest power of x - x^3 term.

    = (+/-){1, 2, 3, 6, 9, 18}/{1} = (+/-){1, 2, 3, 6, 9, 18}.

    Try factors using synthetic division until you find one that works. After, you will be left with a quadratic which is more easily factored.

  • Math -

    X(-X^3 - 4X^2 + 3X + 18).

    It was determined by trial and error
    that when X = 2, the quantity in paren-
    thesis = 0. Therefore,

    x = 2,
    x-2 = 0,

    Using synthetic division:
    (-X^3 - 4X^2 + 3X + 18) / (X - 2) =
    -X^2 - 6X - 9,
    Our Eq is now:
    X(X - 2)(-X^2 - 6X - 9),
    The trinomial = 0 when X = -3,
    X = -3,
    X + 3 = 0,

    Using synthetic division:
    (-X^2 - 6X - 9) / (X + 3) = -X - 3,

    Factored Eq: X(X - 2)(X + 3)(-X - 3).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra 2

    can someone please explain synthetic division to me?
  2. Long and synthetic division

    please check my answers and help me with the last one please, I cant get it to come out right. Divide using long division or synthetic division. 2.(x^2 + 13x + 40)/ (x + 5) I got x + 8 5. 3m^3+7m^2-16m+16/ m+4 i got 3m^2-5m+4 7.(21x^3 …
  3. Algebra

    Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?
  4. Algebra

    Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1) Just wondering, how would you solve this problem using synthetic division?
  5. algebra

    The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a …
  6. trig

    The equation f(x) = 3x^3 + 10x^2 - 16x - 32 has a root at x = -4 a) Find the depressed equation using synthetic division and the root given. Factor out any constants that may appear. b) Factor the depressed equation (which is now a …
  7. Algebra

    Factor find the zeros x^5-9x^3 Find the quotient and remainder using long division (x^3-x^2-2x+6)/(x-2) Use sythetic division and remainder therem to evalulate P(c) Let P(x)= 6x^7-40x^6+16x^5-200x^4-60x^3-69x^2+13x-… *Calculate P(7) …
  8. Algebra 2 help please :)

    What is a cubic polynomial function in standard form with zeros 1, –2, and 2?
  9. Math 17 Synthetic Division

    Using synthetic division, divide (x^6)(y^6) by x-y. please show the process. THANK YOU! :)
  10. Algebra 2 (Please help Ms. Sue!)

    Use synthetic division and the given factor to completely factor the polynomial. x^3-x^2-24x-36; (x-6) How do I do this?

More Similar Questions