Question

Carlos divided the two polynomials shown. ( 2x²-3x-5)/(x+1) What is the quotient?

Answer 1

To divide the polynomial (2x²-3x-5) by (x+1), you can use long division. The quotient is 2x.

Step-by-step explanation:

To divide the polynomial (2x²-3x-5) by (x+1), we can use long division. Here are the steps:

1. We divide the first term of the polynomial by the first term of the divisor, which gives us 2x.
2. We multiply the divisor by 2x and subtract the result from the polynomial, which gives us (2x³+2x²-3x-5).
3. We repeat the process with the new polynomial, dividing the first term by the first term of the divisor, which gives us 2x.
4. We multiply the divisor by 2x and subtract the result from the new polynomial, which gives us (2x³+2x²-3x-5).
5. We continue this process until we can no longer divide.

The quotient is the result of the division. In this case, the quotient is 2x.