Question

Divide using long division.
1) (x²-19) (x + 5)

Answer 1

To divide (x²-19) by (x + 5) using long division, divide the first term of the dividend by the first term of the divisor, subtract the product, and continue the process until the remainder is a constant.

Step-by-step explanation:

To divide (x²-19) by (x + 5) using long division, first write the polynomial in descending order of powers of x:

• x² - 19
• ÷ (x + 5)

To start, divide the first term of the dividend (x²) by the first term of the divisor (x). This gives us x. We then multiply x by the entire divisor (x + 5), which gives us x(x + 5) = x² + 5x. We subtract this product from the dividend, resulting in -19 - 5x. We then bring down the next term, which is 0, and repeat the process.

We continue the process until the remainder is a constant. In this case, the remainder is -19 - 5x. Therefore, the result of dividing (x²-19) by (x + 5) using long division is x - 5, with a remainder of -19 - 5x.

Learn more about Dividing polynomials