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C1 factor theorem question, urgent help needed! watch

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    I have the question "solve P(x+10) = 0."

    P(x)= x³+kx²-5x+6

    The factors are (x-1)(x-3)(x+2) if worked correctly and roots 1, 3 and -2. K is equal to -2.

    how do i solve P(x+10) = 0 from this information i have? what is it asking?
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    first of all i'm assuming there was other info given in the question that lead you to find k.

    if so, then i guess you could just write:

    P(x) = (x -1)(x - 3)(x + 2) and then subsitude x for (x +10) and thus set p(x) = 0
    you'll then get out another set of x values

    this is no different than finding the roots (x intercepts) of P(x), now its just transformed to P(x + 10). You'll find different roots.

    could you please write out the question as is, with all included information?
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    ok. well it was a 4 part question. those are my factors and my K value, and my roots. part d) solve p(x+10) = 0. ive sort of done it though, i substituted x+10 in the X values and got (x+9)(x+7)(x+12)
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    C1 doesnt require the factor theorem btw.
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    c2 is factor or maybe c3 but def not c1 i think

    and you will need to redo that question bro !!
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    (Original post by r0manticide17)
    ok. well it was a 4 part question. those are my factors and my K value, and my roots. part d) solve p(x+10) = 0. ive sort of done it though, i substituted x+10 in the X values and got (x+9)(x+7)(x+12)
    Just put (x+10) in the place of all the x's in P(x) and you'll get an equation. Solve it to get the answer.
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    yeah they ask for factor theorem in the AQA exam
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    Yup, it depends on the exam board - some boards put it in C1, others put it in C2.
 
 
 
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Updated: November 19, 2005

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