Question

Fill in the missing values below to find the quotient when - 4x³ - 15x² - 16 divided by x +4​

Answer 1

To find the quotient when - 4x³ - 15x² - 16 is divided by x + 4, use polynomial long division.

Step-by-step explanation:

To find the quotient when - 4x³ - 15x² - 16 is divided by x + 4, we can use polynomial long division. Here are the steps:

1. Set up the division with - 4x³ - 15x² - 16 as the dividend and x + 4 as the divisor.
2. Divide the first term of the dividend (-4x³) by the first term of the divisor (x) to get -4x². Write this as the first term of the quotient.
3. Multiply the entire divisor (x + 4) by the first term of the quotient (-4x²) to get -4x³ - 16x². Subtract this from the dividend.
4. Bring down the next term of the dividend (-15x²) and repeat the process.
5. Divide (-15x²) by (x) to get -15x. Write this as the next term of the quotient.
6. Multiply the entire divisor (x + 4) by the new term of the quotient (-15x) to get -15x³ - 60x². Subtract this from the remaining part of the dividend.
7. There are no more terms in the dividend, so the process is complete. The final quotient is -4x² - 15x - 4.