Question

What is x^3-39x-70 divided by x+5?

Answer 1

To find the result of dividing x^3 - 39x - 70 by x + 5, we use long division to get x^2 - 5x - 14 as the quotient with no remainder.

Step-by-step explanation:

To divide the polynomial x^3 - 39x - 70 by x + 5, we can use long division or synthetic division. Let's go step by step through the long division process.

1. Divide the first term of the dividend (x^3) by the first term of the divisor (x), which gives us x^2. Multiply the divisor by x^2 to get x^3 + 5x^2 and subtract this from the dividend.
2. Bring down the next term of the dividend, which is -39x. The new expression is -5x^2 - 39x. Divide -5x^2 by x to get -5x, multiply the divisor by -5x, and subtract again.
3. Bring down the last term -70. The new expression is -70. Divide -70 by x to get -14, multiply the divisor by -14, and subtract to complete the division.

The result is x^2 - 5x - 14 with no remainder.