Final answer:
To divide 2x^2 + 7x - 3 by 2x + 5, use polynomial long division to obtain the quotient x - 2 and remainder 7.
Step-by-step explanation:
To divide 2x2 + 7x - 3 by 2x + 5, we can use polynomial long division. Here are the steps:
- Divide the first term of the numerator (2x2) by the first term of the denominator (2x). The quotient is x.
- Multiply the entire denominator (2x + 5) by the quotient (x) and subtract the result from the numerator (2x2 + 7x - 3).
- Bring down the next term from the numerator (-3).
- Repeat steps 1-3 until all terms are exhausted.
The quotient is x - 2 and the remainder is 7.