Can someone please help me factor 6x^2 – 9x+42

Question

Can someone please help me factor 6x^2 – 9x+42

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Sadie 2 weeks 2021-10-11T00:06:31+00:00 2 Answers 0

Answers ( )

    0
    2021-10-11T00:07:41+00:00

    Answer:

    3(2x^2-3x+14)

    Step-by-step explanation:

    6x^2-9x+42

    All three terms have a common factor of 3

    3(2x^2-3x+14)

    Now let’s focus on 2x^2-3x+14 and bring down the factor 3 later

    so a=2

    b=-3

    c=14

    Let’s try to find two factors for ac that multiply to be a*c and add up to be b.

    ac=28

    b=-3

    —–

    ac=7(4)=14(2)=8(2)

    Even if I made these pairs with both negatives nothing would give me -3

    So you can only go as far as 3(2x^2-3x+14)

    Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can’t be factored (over reals)

    0
    2021-10-11T00:07:46+00:00

    Answer:

    -3(x-2)(2x+7)

    Step-by-step explanation:

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27:3+15-4x7+3-1=? ( )