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    Somebody please explain to me where to go on Edexcel book C3 Ex1E, Q4. I've got up to x^3+2x^2-3/(x+3)(x-1). I just don't know how to further simplify this.
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    (Original post by jamb97)
    Somebody please explain to me where to go on Edexcel book C3 Ex1E, Q4. I've got up to x^3+2x^2-3/(x+3)(x-1). I just don't know how to further simplify this.
    Factorise the numerator first.
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    (Original post by Dingooose)
    Factorise the numerator first.
    How? I tried and got x(x^2+2x)-3 for the numeator please help
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    (Original post by jamb97)
    How? I tried and got x(x^2+2x)-3 for the numeator please help
    Notice that x=1 is a solution to x3+2x2-3=0.
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    (Original post by SH0405)
    Notice that x=1 is a solution to x3+2x2-3=0.
    That makes sense now but I couldn't spot that, is that something you're taught or is it like a common sense kinda thing?
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    (Original post by jamb97)
    That makes sense now but I couldn't spot that, is that something you're taught or is it like a common sense kinda thing?
    It's a bit of both. And now you can use that fact and turn x^3+2x^2-3 into (x-1)(x^2+bx+c). What are "b" and "c"? You can use algebraic division or trial and error to work those out.
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    (Original post by jamb97)
    That makes sense now but I couldn't spot that, is that something you're taught or is it like a common sense kinda thing?
    Sort of in between. It's always something to look out for.
 
 
 
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