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Math Help - Factoring, dividing and POI or polynomial

  1. #1
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    Factoring, dividing and POI or polynomial


    For this, so far I factored it and did the long division thing and got 2x^2 - 2




    How would I go about doing b)? how do i know what to sub in, etc.
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  2. #2
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    Re: Factoring, dividing and POI or polynomial

    What factor did you use in the denominator?

    Have you considered continuing to factor the remaining expression?

    Intersection with the y-axis is (0,f(0)). Don't ever find that curious again.
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  3. #3
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    Re: Factoring, dividing and POI or polynomial

    Quote Originally Posted by TKHunny View Post
    What factor did you use in the denominator?

    Have you considered continuing to factor the remaining expression?

    Intersection with the y-axis is (0,f(0)). Don't ever find that curious again.
    (x-3) was the common factor so i found a) which is 2x^2 - 2

    What points should I sub in for b)
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    Re: Factoring, dividing and POI or polynomial

    How did you find (x-3), since only f(1) = 0 ==> (x-1) was given?

    You should not "sub in" any values for b). You should continue to factor the expression.
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    Re: Factoring, dividing and POI or polynomial

    Quote Originally Posted by TKHunny View Post
    How did you find (x-3), since only f(1) = 0 ==> (x-1) was given?

    You should not "sub in" any values for b). You should continue to factor the expression.
    Well i factored the original equation in a) and I got (2x^2 - 2)(x-3) so that's where the x-3 came from.
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  6. #6
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    Re: Factoring, dividing and POI or polynomial

    Quote Originally Posted by YassAttack View Post
    Well i factored the original equation in a) and I got (2x^2 - 2)(x-3) so that's where the x-3 came from.
    Even though this is a correct (though not complete) factorisation, you didn't follow the instructions you were given. You are expected to know that if f(a) = 0, then (x - a) is a factor. So being told that f(1) = 0, you should know that (x - 1) is a factor and that you are supposed to divide by (x - 1).

    Assuming you have done that or if you want to continue with what you have done, now factorise the quadratic factor.
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