Algebra

posted by .

(x^3+2x^2-4x-8)/(x^4-16)x(3x^2+8x+5)/3x^2+11x+10)

  • Algebra -

    factor each part
    here is the hardest part

    x^3 + 2x^2 - 4x - 8 , using grouping
    = x^2(x+2) - 4(x+2)
    = (x^2 - 4)(x+2)
    = (x+2)(x-2)(x+2) or (x-2)(x+2)^2

    so...
    (x^3+2x^2-4x-8)/(x^4-16)x(3x^2+8x+5)/3x^2+11x+10)
    = (x-2)(x+2)^2 /((x-2)(x+2)(x^2 + 4)) * (x+1)(3x+5)/((3x+5)(x+2))
    = (x+1)/(x^2 + 4) , x ≠ ±2, -5/3

    check by picking any value of x other than the restricted values

    e.g. let x = 1
    in original:
    = (-9)/(-15)*(16/24) = 2/5
    value of (x+1)/(x^2+4) = 2/5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    3x-27/55÷x-9/15x my answer is =3(11x^2-4)/11x is this correct.
  2. Algebra 1

    3x-27/55÷x-9/15x my answer is =3(11x^2-4)/11x is this correct.
  3. algebra

    Can anyone tell me if I got this problem right 12x-6=11x 12x-6+6=11x+6 12x-11x=6 1x=6 x=6/1 x=6 Yes, that is correct
  4. Algebra

    3x-27/55÷x-9/15x my answer is =3(11x^2-4)/11x is this correct
  5. math

    I solved this problem 12x-6=11x -6+6=0 11x+6 12x=11x+6 12x-11x=x 11x-11x=0 x=6 Can someone show me the process of checking it?
  6. Algebra

    Add the following (-8^2-2x+4)+(x^2-9x+7) A)9x^2-7x+11 B)-8x^2+11x+11 C)-7^2-11x+11 D)-7x^4-11x^2+11
  7. Algebra 1b!

    1. Find the excluded value of x for the polynomomial expression 4x/6 a. 6 b. -6 c. 1/6 d. -1/6 2. Simplifly 3-2x/7 + 4x+5/7 a. 2x+8/14 b. 2x+8/7 <--- c. x+1/7 d. 2x+2/7 3. Simplify 6ab^6/4a^7b^10 * a^3b^4/2a^7b^6 a. 7x/8 - 2x/8 …
  8. MATH - Algebra

    11x^2 + 22x/11 Am I on the right track? 11(x^2 + 11x)/11 = x^2 + X
  9. Algebra help please

    Let f(x) = -5x - 4 and g(x) = 6x - 7. Find f(x) + g(x) A. x + 3 B. x - 11 C. -11x = 3b D. -11x - 11 C?
  10. Algebra

    Write the equation in slope-intercept form. What are the slop and y-intercept?

More Similar Questions