algebra

posted by .

factor by grouping if possible and check
5x^3+4x^2-10x-8

  • algebra -

    5x^3+4x^2-10x-8
    Note that the coefficients are
    5,4, -10,-8
    with 5,4 as a common factor
    =5,4, -2(5,4)
    So we can factorize by grouping.

    5x^3+4x^2-10x-8
    =x^2(5x+4) -2(5x+4)
    Taking (5x+4) as the common factor
    =(x^2-2)(5x+4)
    would be the answer for rational factors.
    Further factoring into
    (x+√2)(x-√2)(5x+4)
    is possible but two of the factors are not rational.

    which are in the same proportion

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math,correction

    can someone check these for me please.... problem#4 Directions: Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms. 3a^3+3ab^2+2a^2b+2b^3 My answer: (a^2+b^2)(3a+2b) …
  2. math,help,factoring

    i need help i don't know how to do the next step. factor by grouping x^3-3x^2+4x-12 so what i have so far is this =(x^3-3x^2)+(4x-12) =x(x^2-3x)+4(x-3) from here i don't know... and then this one is driving me insane this next one... …
  3. FACTORING

    I can't figure out how to factor this. I know you use the technique Factor by Grouping. But can someone explain to me how to factor this problem by using factor by grouping technique. Problem: 30x^3 + 18x^2 - 5x - 3. Thanks so much:) …
  4. Algebra HELP

    h(x)= 3x^(5) + 2x^(4) + 15x^(3) + 10x^(2) - 528x - 352 for this equation how would I know to use the square root of 11 in synthetic division to be a factor?
  5. algebra

    Andrew factored the expression 28x©ø-6x©÷-10x as 2x(14x©ø-3x©÷-5x) . But when Melissa applied the distributive law and multiplied out 2x(14x©ø-3x©÷-5x), she got 28x©ù-6x©ø-10x©÷; thus, Andrew¡¯s solution does not …
  6. Intermediate Algebra

    Factor by grouping, if possible, and check 5x3 + 4x2 − 10x – 8
  7. Factor (Math)

    Factor by grouping if possible. z^3+3z^2+7z+21
  8. Algebra 1 (Reiny)

    Factor each polynomial by grouping. Check your answer. 1. 2r^2 - 6r + 12 - 4r
  9. Algebra 1 Answer Evaluation

    Factor. 1. 30y^3 - 50y A: 10y(3y - 5y) 2. Factor a^2 - 5a^2 + 2a -10 by grouping. A: ?
  10. Algebra 1-Factor by Grouping Help!

    Factor. Use factoring by grouping even though it would seem reasonable to first combine like terms 3u^2-7-21u+49 Would be the same procedure as factoring polynomial?

More Similar Questions