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Help me factorise this! Looks simple but it's not! Watch

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     16x^4 - 10x^2 +1 =0

    I really need help factorising this as I have only just realised that I have never learnt how it's done. I can only factorise quadratics at this point!

    Thank you for any help, I really do appreciate it and need this for a few questions.

    Feel free to give me examples of different questions and their working. I'm not asking for someone to do my homework for me, I just need to understand this for a question (FP3 June 2006 Qn 3 part b) as the mark scheme if very unclear and skips working.

    THANK YOU FOR THE HELP <3 <3 <3

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    (8x^2-1)(2x^2-1)

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    (Original post by newguy101)
     16x^4 - 10x^2 +1 =0
    You mention you only know how to factorise quadratics but you kind of have one you can use...
    A ''dummy variable'' immediately comes to mind.
    Hint- let y=x^2 (this will help factor it)
    np
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    (Original post by MedAppli)
    (8x^2-1)(2x^2-1)

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    It's against the TSR rules to just post the answer to the question...
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    Find two numbers which will multiply to give 16 and add to give 10.
    Then, two numbers that multiply to give 1. A bit of help: - * - = +.
    1 is a prime number.

    The rest I'll give you help on later, those are just the numbers, how to find out how to factorise it is another thing, a clue is like terms.
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    (Original post by Chittesh14)
    Find two numbers which will multiply to give 16 and add to give 10.
    Then, two numbers that multiply to give 1. A bit of help: - * - = +.
    1 is a prime number.
    The rest I'll give you help on later, those are just the numbers, how to find out how to factorise it is another thing, a clue is like terms.
    This method gets rather intuitive after time so you'll be able to do this without thinking too much about it.
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    (Original post by newguy101)
     16x^4 - 10x^2 +1 =0

    I really need help factorising this as I have only just realised that I have never learnt how it's done. I can only factorise quadratics at this point!

    Thank you for any help, I really do appreciate it and need this for a few questions.

    Feel free to give me examples of different questions and their working. I'm not asking for someone to do my homework for me, I just need to understand this for a question (FP3 June 2006 Qn 3 part b) as the mark scheme if very unclear and skips working.
    As Mathmeister say, if you temporarily let u=x^2, then you have 16u^2-10u+1=0, which you should be able to factorise. You can then put x^2 back in at the end.
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    Thanks so much for the help guys
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    (Original post by newguy101)
    Thanks so much for the help guys
    Not a problem buddy .
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    (Original post by Chittesh14)
    Find two numbers which will multiply to give 16 and add to give 10.
    Then, two numbers that multiply to give 1. A bit of help: - * - = +.
    1 is a prime number.
    The rest I'll give you help on later, those are just the numbers, how to find out how to factorise it is another thing, a clue is like terms.
    Your method is fine but this is not
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    (Original post by davros)
    Your method is fine but this is not
    Can confirm.
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    (Original post by davros)
    Your method is fine but this is not
    Thanks, perfect eyes! I forgot the first prime number is 2 hehe.


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