what is the quotient (3x^2 + 8x -3) divided by (x + 3)

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what is the quotient (3x^2 + 8x -3) divided by (x + 3)

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Diễm Kiều 6 months 2021-08-24T12:57:08+00:00 1 Answers 4 views 0

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    2021-08-24T12:58:50+00:00

    Answer:

    Quotient = (3x-1)

    Step-by-step explanation:

    we need to find the quotient when (3x² + 8x -3) is divided by (x+3)

    It means we need to divide (3x² + 8x -3) by (x+3).

    We can write it as follows :

    \dfrac{3x^2 + 8x -3}{(x+3)}

    Applying middle term splitting on the numerator.

    \dfrac{3x^2 +9x-x-3}{(x+3)}\\\\=\dfrac{3x(x+3)-1(x+3)}{(x+3)}\\\\=\dfrac{(3x-1)(x+3)}{(x+3)}\\\\=(3x-1)

    So, the required quotient is (3x-1)

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