Short answer. Find the quotient:

6x^3-x^2-7x-9
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2x+3

have you considered dividing?

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can someone plz help me with these three problems(((( stressed out)))) I cannot figure these problems to save life so can someone throw me a lifsaver please!!!

this could be a start if the website could find its file:o(

To find the quotient, we will perform polynomial long division. Here's how you can do it:

Step 1: Write down the dividend and the divisor.
Dividend: 6x^3 - x^2 - 7x - 9
Divisor: 2x + 3

Step 2: Divide the first term of the dividend by the first term of the divisor.
The first term of the dividend is 6x^3, and the first term of the divisor is 2x. Divide them to get 6x^3 / 2x = 3x^2.

Step 3: Multiply the divisor by the quotient from Step 2.
Multiply (2x + 3) by 3x^2 to get 6x^3 + 9x^2.

Step 4: Subtract the result from Step 3 from the dividend.
Subtract (6x^3 + 9x^2) from the original dividend (6x^3 - x^2 - 7x - 9) to get:

6x^3 - x^2 - 7x - 9 - (6x^3 + 9x^2) = -10x^2 - 7x - 9.

Step 5: Repeat Steps 2 to 4 with the new expression.
Take the new expression (-10x^2 - 7x - 9) as the new dividend and the original divisor (2x + 3). Divide the first term of the new dividend by the first term of the divisor, and then repeat the process.

Dividing -10x^2 by 2x gives -5x, and multiplying (2x + 3) by -5x gives -10x^2 - 15x.

Subtracting (-10x^2 - 15x) from the new dividend (-10x^2 - 7x - 9) results in -7x + 6.

Step 6: Repeat Steps 2 to 4 with the new expression.
Take the new expression (-7x + 6) as the new dividend and the original divisor (2x + 3). Divide the first term of the new dividend by the first term of the divisor, and then repeat the process.

Dividing -7x by 2x gives -3.5, and multiplying (2x + 3) by -3.5 gives -7x - 10.5.

Subtracting (-7x - 10.5) from the new dividend (-7x + 6) results in 16.5.

Step 7: There are no more terms in the dividend, so the division is complete.

The quotient is 3x^2 - 5x - 3.5, and the remainder is 16.5.

Therefore, the quotient of (6x^3 - x^2 - 7x - 9) divided by (2x + 3) is 3x^2 - 5x - 3.5 with a remainder of 16.5.