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26 November, 06:29

What is the quotient (3x2 + 4x - 15) : (x + 3) ?

A) 3x + 5

B) 3x - 5

C) 3x + 1

D) 3x - 1, r = 1

+1
Answers (2)
  1. 26 November, 06:36
    0
    Choice B is the answer.

    Step-by-step explanation:

    We have given a expression.

    (3x² + 4x - 15) : (x + 3)

    We have to find the quotient of given expression.

    Simplifying by factoring the numerator of the given expression, we have

    (3x²+9x-5x-15) : (x+3)

    Making groups of numerator of above expression, we have

    [ 3x (x+3) - 5 (x+3) ] : (x+3)

    Taking x+3 common from numerator of above expression, we have

    [ (x+3) (3x-5) ] : (x+3)

    x+3 is common in numerator and denominator, we have

    [ (3x-5) ]

    3x-5 is the answer.
  2. 26 November, 06:53
    0
    The correct answer is option B. 3x - 5

    Step-by-step explanation:

    The given polynomial is 3

    x² + 4x - 15

    To find the quotient of polynomial division

    (x² + 4x - 15) / (x - 3)

    3x - 5

    x-3 | 3x² + 4x - 15

    3x² + 9x

    -5x - 15

    -5x - 15

    0

    Therefore the quotient is 3x - 5

    The correct answer is option B). 3x - 5
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