Question

What is the quotient for (12x² + 34x + 25) / (3x + 4)?

A) 4x + 5
B) 3x + 6
C) 3x + 3
D) 4x + 4

Answer 1

To find the quotient for (12x² + 34x + 25) / (3x + 4), you can use the long division method. The quotient is 4x + 5.

Step-by-step explanation:

To find the quotient for (12x² + 34x + 25) / (3x + 4), we can use the long division method. Here are the steps:

1. Divide the first term of the numerator (12x²) by the first term of the denominator (3x). The result is 4x.
2. Multiply the entire denominator (3x + 4) by the result from the previous step (4x) and subtract it from the numerator (12x² + 34x + 25).
3. Bring down the next term (34x) from the numerator and repeat the process.
4. Continue dividing, multiplying, and subtracting until all terms have been used.
5. The final quotient is the sum of the quotients obtained at each step. In this case, the quotient is 4x + 5.

Therefore, the correct answer is

A) 4x + 5

.