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6 October, 14:16

Based on the polynomial remainder theorem, what is the value of the function when x=-5

f (x) = x^4+9x^3+17x^2-8x+50

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  1. 6 October, 14:33
    0
    Answer: 15

    Step-by-step explanation:

    Using synthetic division:

    -5 | 1 9 17 - 8 50

    | ↓ - 5 - 20 15 - 35

    1 4 - 3 7 15 ← this is the remainder

    Check:

    f (x) = x⁴ + 9x³ + 17x² - 8x + 50

    f (-5) = (-5) ⁴ + 9 (-5) ³ + 17 (-5) ² - 8 (-5) + 50

    = 625 - 1125 + 425 + 40 + 50

    = 15
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