Factories the following expression. 3x^2 +2x?

Please help and explain how you do the process, I have zero understanding of this.


How do I also do 5x^2+x

Explain the steps please

Update 2:

Yet another update...sorry. x^3+2x^2+5x

Explain all the steps

3 Answers

  • Paul
    Lv 7
    5 years ago

    One easy way to factorise it is to pull out the x.


    To do 5x^2+x is the same - there's no steps just pull out the x.

    x(5x + 1)

    Again with x^3+2x^2+5x

    just pull out the x.

    x(x^2+2x + 5)

    If this isn't obvious watch these videos.


  • 5 years ago

    The first step in factoring expressions is to look for common factors. In this case, x is your only common factor. Pull it out of both terms and you get:

    x(3x + 2)

    and that's as factored as you can get.

    Recall when you learned about the distribution property, where you have something in the form of:

    a(x + y)

    so you multiply a by both terms x and y to get:

    ax + ay

    factoring is the reversing of this property. Now "a" is a common factor, so pulling it out of both terms:

    a(x + y)

    and we're back to where we are started.

    Hope this helps.

  • sepia
    Lv 7
    5 years ago

    3x^2 + 2x

    = x(3x + 2)

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