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3. Find the remainder when 4d⁴ - 20d³ + 44d² - 4d - 2 is divided by (2d - 1).

(With Complete Solution)​

Sagot :

Answer:

19/4 or 4 ¾

Step-by-step explanation:

P(x) = 4d⁴ - 20d³ + 44d² - 4d - 2

d(x) = 2d - 1

2d - 1 = 0

2d = 1

d = ½

P(x) = 4d⁴ - 20d³ + 44d² - 4d - 2

P(½) = 4(½)⁴ - 20(½)³ + 44(½)² - 4(½) - 2

= 4(1/16) - 20(1/8) + 44(1/4) - 2 - 2

= 1/4 - 5/2 + 11 - 2 - 2

P(½) = 19/4 or 4 ¾

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