To find the first term of the quotient resulting from the division of x³ + 1 by x², we can approach this division step by step.
1. **Set up the division**: We want to divide x³ + 1 by x². To make this easier, we can express this as:
x³ + 1 ÷ x²
2. **Identify the leading terms**: In this expression, the leading term of the numerator is x³, and the leading term of the denominator is x².
3. **Perform the division**: We divide the leading term of the numerator by the leading term of the denominator:
x³ ÷ x² = x
So, the first term of the quotient is x.
4. **Additional Notes**: After finding the first term x, you can proceed with polynomial long division to find the complete quotient and any remainder, but for the purpose of this question, we’ve focused solely on the first term.