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slavikrds [6]
3 years ago
8

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

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

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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