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16 July, 01:49

When dividing the polynomial p (1) = 4t^3 - 17t^2 + 14t - 3 by t - 3, the remainder can be determined by evaluating p (3). What is the value of this

remainder?

A P (3) = - 27

B. P (3) = - 6

C. P (3) = 0

D. p (3) = 45

+4
Answers (1)
  1. 16 July, 01:55
    0
    The answer to your question is the letter B. P (3) = - 6

    Step-by-step explanation:

    4t² - 5t - 1

    t - 3 4t³ - 17t² + 14t - 3

    -4t³ + 12t²

    0 - 5t² + 14t

    +5t² - 15t

    0 - t - 3

    +t - 3

    0 - 6

    Quotient = 4t² - 5t - 1

    Remainder = - 6

    The remainder is constant it always be - 6

    P (3) = 4 (3) ³ - 17 (3) ² + 14 (3) - 3

    = 4 (27) - 17 (9) + 42 - 3

    = 108 - 153 + 42 - 3

    = 150 - 156

    = - 6
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