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blahblah_who_cares

Find the remainder if P(x)=x^3+17 is divided by (x+2).

  • one year ago
  • one year ago

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  1. DarthTony
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    9 ?

    • one year ago
  2. blahblah_who_cares
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    The answer is 9, but I dont understand how to get it.

    • one year ago
  3. blahblah_who_cares
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    @DarthTony

    • one year ago
  4. Directrix
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    @blahblah_who_cares Have you studied synthetic division or the Remainder Theorem?

    • one year ago
  5. blahblah_who_cares
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    I have.

    • one year ago
  6. Directrix
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    Remainder Theorem?

    • one year ago
  7. blahblah_who_cares
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    No. Just synthetic. And I might have learned Remainder but I dont recall anything like it. .

    • one year ago
  8. dumbcow
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    for (x+2) evaluate f(-2) to get remainder

    • one year ago
  9. Directrix
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    We can do either here. I will post the Remainder Theorem so that you can tell me if you've ever seen it. Regardless, we will do the problem but will use the method you have studied. Tell me which method after you look at this remainder theorem. Remainder Theorem If a polynomial P( x) is divided by ( x – r), then the remainder of this division is the same as evaluating P( r), and evaluating P( r) for some polynomial P( x) is the same as finding the remainder of P( x) divided by ( x – r).

    • one year ago
  10. Directrix
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    @blahblah_who_cares

    • one year ago
  11. blahblah_who_cares
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    Yah. Ive never learned Remainder Theorem. @Directrix

    • one year ago
  12. Directrix
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    We'll do synthetic division.

    • one year ago
  13. Directrix
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    P(x)=x^3+17 is divided by (x+2) P(x) = x^3 + 0x^2 + 0x + 17 divided by (x + 2) |dw:1360114222669:dw|

    • one year ago
  14. Directrix
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    Does that look familiar?

    • one year ago
  15. blahblah_who_cares
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    Ok. So i think my big question here is how to get the -2.

    • one year ago
  16. Directrix
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    |dw:1360114478786:dw|

    • one year ago
  17. Directrix
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    Consider this example: Example 1 Find P(–3) if P( x) = 7 x5 – 4 x3 + 2 x –11. There are two methods of finding P(–3). • Method 1: Directly replace –3 for x. • Method 2: Find the remainder of P( x) divided by [ x – (–3)].

    • one year ago
  18. blahblah_who_cares
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    No. I mean how did you get -2 from (x+2).

    • one year ago
  19. Directrix
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    If the divisor is (x +2), for synthetic division, it is written as (x - (-2)) which results in a divisor of (-2).

    • one year ago
  20. blahblah_who_cares
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    Oh.. Ok. thanks.

    • one year ago
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