Question

Dividing Pol Divide by long division method. (4a³ -7a² -11a+5) ÷ (4a+5)

Answer 1

In the given division problem, (4a³ - 7a² - 11a + 5) ÷ (4a + 5), we can divide the polynomials using the long division method. The solution is a² - 2a + 1, with a remainder of -25.

Step-by-step explanation:

To divide polynomials using the long division method, follow these steps:

1. Divide the first term of the dividend by the first term of the divisor. In this case, divide 4a³ by 4a.
2. Write the result above the line.
3. Multiply the divisor by the result obtained in step 1, and write the result below the dividend.
4. Subtract the product obtained in step 3 from the corresponding terms of the dividend.
5. Bring down the next term of the dividend.
6. Repeat steps 1-5 until there are no more terms in the dividend or the degree of the remaining terms is less than the degree of the divisor.

Applying these steps to the given problem:

a² - 2a + 14a + 5 │ 4a³ - 7a² - 11a + 5- (4a³ + 5a²) - 12a² - 19a - 25

The result is a² - 2a + 1, with a remainder of - 25.

Learn more about Dividing Polynomials