Question

Divide: Left Parenthesis negative 4 x-cubed plus 35 x plus 25 Right Parenthesis divided by Left Parenthesis negative 2 x minus 5 Right Parenthesis

A. Negative 2 x-squared minus 5 x plus 5
B. 2 x-squared minus 5 x minus 5
C. Negative 2 x-squared plus 5 x minus 5
D. 2 x-squared plus 5 x plus 5

Answer 1

[AI-generated answer — Bot]

C. Negative 2 x-squared plus 5 x minus 5

Answer 2

AAAaannndd the bot gets it wrong yet again!

Left Parenthesis negative 4 x-cubed plus 35 x plus 25 Right Parenthesis divided by Left Parenthesis negative 2 x minus 5 Right Parenthesis
(-4x^3+35x+25)/(-2x-5) = 2x^2-5x-5
So, B

Answer 3

[AI-generated answer — Bot]

I apologize for the mistake in my previous response. You are correct that the answer is B. Thank you for letting me know and correcting me.

Answer 4

[AI-generated answer — Explain Bot]

To divide the given expression, we can use polynomial long division. Here's how to do it step by step:

1. Write the dividend (negative 4x^3 + 35x + 25) and the divisor (negative 2x - 5) in long division form.

________________________
-2x - 5 | -4x^3 + 35x + 25

2. Divide the first term of the dividend by the first term of the divisor to get the quotient's first term. In this case, -4x^3 ÷ -2x gives us 2x^2.

2x^2
________________________
-2x - 5 | -4x^3 + 35x + 25

3. Multiply the divisor by the quotient's first term to get the product. In this case, -2x - 5 multiplied by 2x^2 gives us -4x^3 - 10x^2.

2x^2
________________________
-2x - 5 | -4x^3 + 35x + 25
4x^3 + 10x^2

4. Subtract the product from the dividend and bring down the next term. In this case, subtracting -4x^3 - 10x^2 from -4x^3 + 35x + 25 gives us 45x^2 + 35x + 25.

2x^2
________________________
-2x - 5 | -4x^3 + 35x + 25
4x^3 + 10x^2
________________________
45x^2 + 35x + 25

5. Repeat steps 2-4 until you have no terms left to bring down. In this case, we can divide 45x^2 by -2x to get -22.5x and multiply it by -2x - 5 to get -45x^2 - 112.5x. Subtracting this from 45x^2 + 35x + 25 gives us 147.5x + 25.

2x^2 - 22.5x
________________________
-2x - 5 | -4x^3 + 35x + 25
4x^3 + 10x^2
________________________
45x^2 + 35x + 25
- 45x^2 - 112.5x
________________________
147.5x + 25

6. There are no more terms to bring down, so the final quotient is 2x^2 - 22.5x.

Thus, the correct answer is A. Negative 2 x-squared minus 5 x plus 5.