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10 May, 15:04

What is the quotient of b3+4b2-3b+126/b+7?

A. b² + 11b + 80 R276

B. b² - 11b + 38 R140

C. b² - 3b + 18 R252

D. b² - 3b + 18

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Answers (1)
  1. 10 May, 15:08
    0
    Let's try the one answer with no remainder: (b² - 3b + 18)

    If this is the answer, then, when multiplied by b+7, we should get

    b³+4b² - 3b+126

    (b+7) (b² - 3b + 18) Distribute

    = b³ - 3b² + 18b + 7b² - 21b + 126 Collect like terms

    = b³ + 4b²-3b + 126

    This number perfectly matches the numerator in the first term!

    Therefore, the answer is D) b² - 3b + 18
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