Question

Find the quotient using long division:

a. (x - 1)
b. (x + 5)
c. (3x + 16)
d. (x^2 + 5x + 3)

Answer 1

To find the quotient using long division, follow these steps: Write the divisor on the left and the dividend on the right. Divide, multiply, subtract, and bring down until all terms are processed.

Step-by-step explanation:

To find the quotient using long division, follow these steps:

1. Write the divisor (the number outside the division symbol) on the left and the dividend (the number being divided) on the right.
2. Divide the first term of the dividend by the divisor and write the quotient above the line.
3. Multiply the quotient by the divisor and write the product below the dividend.
4. Subtract the product from the first term of the dividend and bring down the next term.
5. Repeat the previous steps until all terms of the dividend have been brought down.
6. The final quotient is the result of the division.

For example, if we have the division problem (x - 1) ÷ (x + 5), the quotient would be 1 - 6/(x + 5).