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24 September, 08:56

What is an easy way to factor and equation like 2x^2-5x+3, without using the British method?

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  1. 24 September, 12:52
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    Step-by-step explanation:

    I learned this easy way to complete the sqare in the fastest way possible

    First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2 (x^2 - 5/2x + 3/2). then you do one half of b or in this case - 5/2. That would make - 5/4. you would put this into the factor.

    2 (x - 5/4 + ) (x - 5/4 - )

    Then you square that number (-5/4)

    That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.

    2 (x - 5/4 + 1/4) (x - 5/4 - 1/4)

    Then you simplify

    (x-1) 2 (x-3/2)

    (x-1) (2x-3)

    now to make sure I am correct, I will re-multiply it out

    2x^2 - 5x + 3
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