Which of the following is result of using the remainder theorem to find F(3) for the polynomial function F(x) = x^3 – 9x^2 + 5x – 2

Question

Which of the following is result of using the remainder theorem to find F(3) for the polynomial function F(x) = x^3 – 9x^2 + 5x – 2

A. -32

B. 11

C. -59

D. -41

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Thông Đạt 4 years 2021-07-26T09:43:56+00:00 1 Answers 11 views 0

Answers ( )

  1. binhan
    0
    2021-07-26T09:45:33+00:00
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    Answer:

    -41

    Step-by-step explanation:

    The remainder theorem states that when a polynomial F(x) is divided by (x – k) the remainder is F(k). In other words, the remainder when f(x) is divided by (x-k) is calculated by simply calculating F(k).

    Given:

    F(x) = x³ – 9x² + 5x – 2                   —————–(i)

    To calculate F(3), substitute x = 3 into equation (i) as follows;

    F(3) = (3)³ – 9(3)² + 5(3) – 2

    F(3) = 27 – 81 + 15 – 2

    F(3) = -41

    This means that if the polynomial F(x) = x³ – 9x² + 5x – 2 is divided by x – 3, the remainder will be -41.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )