When dividing the polynomial by , the quotient is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to perform long division of polynomials and find the quotient. The given polynomial is divided by a binomial, and the student must correctly set up and execute the long division process.
Key Concept Explanation
Long division of polynomials involves dividing the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. This process is repeated until the degree of the remainder is less than the degree of the divisor.
Step-by-step Solution
1. Divide the leading terms:
Dividend's first term:
Divisor's first term:
Calculation:
First term of quotient:
2. Multiply and subtract:
Multiply by divisor :
Subtract from dividend:
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