Question

I need to know what x^3- 4x^2+5x-2 divided by x+2 is

Answer 1

To divide the polynomial x^3-4x^2+5x-2 by x+2, you can use polynomial long division. The quotient is x^2-6x+17 and the remainder is 32.

Step-by-step explanation:

To divide the polynomial x^3 - 4x^2 + 5x - 2 by x + 2, we can use polynomial long division. Here are the step-by-step instructions:

1. Arrange the terms of the polynomial in descending order of powers.
2. Divide the first term of the dividend (x^3) by the first term of the divisor (x) to get x^2. Write this as the first term of the quotient.
3. Multiply the entire divisor (x + 2) by the quotient term (x^2) and subtract the result from the dividend (x^3 - 4x^2 + 5x - 2).
4. Repeat the process with the new dividend until there are no more terms left.

By following these steps, the quotient is x^2 - 6x + 17, and the remainder is 32.