Use synthetic division to divide the polynomial by . The quotient is and the remainder is .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to perform synthetic division and find both the quotient and the remainder after dividing a polynomial by a linear binomial.
Key Concept Explanation
The quotient in synthetic division is the polynomial formed by the values obtained from the process, and the remainder is the last value. The degree of the quotient is one less than the degree of the dividend.
Step-by-step Solution
1. Write down the coefficients of :
2. Use as the divisor since we are dividing by
3. Bring down the first coefficient:
4. Multiply by and add to the next coefficient:
5. Multiply by
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