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blahblah_who_cares

  • 2 years ago

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

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  1. DarthTony
    • 2 years ago
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    9 ?

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

  3. blahblah_who_cares
    • 2 years ago
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    @DarthTony

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

  5. blahblah_who_cares
    • 2 years ago
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    I have.

  6. Directrix
    • 2 years ago
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    Remainder Theorem?

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

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

  9. Directrix
    • 2 years ago
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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).

  10. Directrix
    • 2 years ago
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    @blahblah_who_cares

  11. blahblah_who_cares
    • 2 years ago
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    Yah. Ive never learned Remainder Theorem. @Directrix

  12. Directrix
    • 2 years ago
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    We'll do synthetic division.

  13. Directrix
    • 2 years ago
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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|

  14. Directrix
    • 2 years ago
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    Does that look familiar?

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

  16. Directrix
    • 2 years ago
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    |dw:1360114478786:dw|

  17. Directrix
    • 2 years ago
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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)].

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

  19. Directrix
    • 2 years ago
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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).

  20. blahblah_who_cares
    • 2 years ago
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    Oh.. Ok. thanks.

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