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babydoll332

  • 3 years ago

Find the remainder when f(x) is divided by (x - k) f(x) = 8x^4 + 7x^3 + 5x^2 - 5x + 35; k = 4

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  1. RadEn
    • 3 years ago
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    use the remainder theorem, remainder = f(4) = .... (just plug x=4)

  2. babydoll332
    • 3 years ago
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    4220

  3. babydoll332
    • 3 years ago
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    @RadEn 4220

  4. zordoloom
    • 3 years ago
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    Close

  5. babydoll332
    • 3 years ago
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    2591

  6. zordoloom
    • 3 years ago
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    What did you substitute for x?

  7. babydoll332
    • 3 years ago
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    4

  8. RadEn
    • 3 years ago
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    yes, 2591

  9. zordoloom
    • 3 years ago
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    Yep

  10. ZeHanz
    • 3 years ago
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    You can use synthetic division: 4 [ 8 7 5 -5 35 ] 32 156 644 2556 ------------------------+ 8 39 161 639 2591 <--- remainder Explanation of synthetic division: write out the coefficients of the powers of x, in the right order (8, 7, 5, -5 and 35) Put 4 in front (the value of k) the first coefficient, 8 goes straight down. Multiply 4 with 8, put 32 in the next column. Add the numbers: 39 Multiply 4 with 39, put 156 in the next column. Adding gives 161. Etc. the last number you get this way is the remainder!

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