please help math factor trinomial

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y^3-13y^2+36y

Can someone please show me step by step that way I can understand. Thank you

  • please help math factor trinomial -

    first notice that you can factor out the y, leaving

    y(y^2-13y+36)
    Now you want two numbers that add to -13 and multiply to 36. Obviously they must both be negative. Easy factors of 36 are

    1,36 2,18 3,12 4,9

    It's clear that we want 4 and 9, so our polynomial is

    y(y-4)(y-9)

    This factoring by inspection is mainly a skill acquired by doing a lot of problems, so you get to recognize likely factors.

  • please help math factor trinomial -

    Thank you soo much.. I have a lot of trouble with factoring

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