Question

Explain how you could use a calculator to determine √8 expressed as a terminating decimal.

Answer 1

To divide the polynomial 15x² + 14x - 8 by 3x + 4 using long division, follow these steps: Divide the first term of the dividend by the first term of the divisor, multiply the result by the divisor, subtract the product from the dividend, and repeat until all terms of the dividend are brought down. The quotient is 5x - 6. The correct option is a) 5x - 6.

Step-by-step explanation:

To divide the polynomial 15x² + 14x - 8 by 3x + 4 using long division, follow these steps:

1. Write the dividend (15x² + 14x - 8) inside the division symbol (÷).
2. Write the divisor (3x + 4) outside the division symbol.
3. Divide the first term of the dividend (15x²) by the first term of the divisor (3x).
4. Write the result of the division (5x) above the division symbol.
5. Multiply the result (5x) by the divisor (3x + 4) and write the product (15x² + 20x) below the dividend.
6. Subtract the product (15x² + 20x) from the dividend (15x² + 14x - 8).
7. Bring down the next term of the dividend (-8).
8. Repeat steps 3-7 until you bring down all the terms of the dividend.

The quotient of the division is 5x - 6. Therefore, the correct option is a) 5x - 6.