Final answer:
The division of x³-7 by x-2 involves polynomial long division, where the divisor x-2 is divided into each term of the dividend x³-7. The final result is a quotient with a degree 2 polynomial and possibly a remainder. Without a correction to the typo, a specific solution cannot be given.
Step-by-step explanation:
The result of dividing x³-7 by x-2 is found using polynomial long division or synthetic division. However, this specific division cannot be performed directly because there is a typo in the question. Assuming the typo is corrected and the problem is actually to divide x³-7 by x-2, you would set up the division much like traditional long division but with polynomials.
Before performing the division, check if the polynomial x³-7 can be factored easily, which in this case it cannot. Then proceed with the division by determining how many times x-2 goes into each term of x³-7, subtracting the resulting product from x³-7, and bringing down the next term if any. The final answer will include a quotient and possibly a remainder.
If the corrected problem indeed asks for division by x-2, the solution will involve finding a quotient that is a polynomial of degree 2 and possibly obtaining a remainder. Without the correct expression, a specific result cannot be provided.The final result is a quotient with a degree 2 polynomial and possibly a remainder. Without a correction to the typo, a specific solution cannot be given.