Use synthetic division to divide x + 3x - 12x – 12 by a - 3 Enter an integer or decimal number [more..1 The quotient is: x2 + 6x + 6 The remainder is: 6

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Synthetic Division Example**

**Problem Statement:**
Use synthetic division to divide \(x^3 + 3x^2 - 12x - 12\) by \(x - 3\).

**Synthetic Division Setup:**
Enter the coefficients of the polynomial in the top row and perform the calculations step by step using synthetic division.

**Quotient and Remainder:**
- The quotient is: \(x^2 + 6x + 6\)
- The remainder is: \(6\)

**Explanation:**

In synthetic division, substitute \(x - 3\) with \(3\) (the opposite sign of the divisor root), and perform the division using the coefficients [1, 3, -12, -12]. The result yields the quotient \(x^2 + 6x + 6\) with a remainder of 6.
Transcribed Image Text:**Synthetic Division Example** **Problem Statement:** Use synthetic division to divide \(x^3 + 3x^2 - 12x - 12\) by \(x - 3\). **Synthetic Division Setup:** Enter the coefficients of the polynomial in the top row and perform the calculations step by step using synthetic division. **Quotient and Remainder:** - The quotient is: \(x^2 + 6x + 6\) - The remainder is: \(6\) **Explanation:** In synthetic division, substitute \(x - 3\) with \(3\) (the opposite sign of the divisor root), and perform the division using the coefficients [1, 3, -12, -12]. The result yields the quotient \(x^2 + 6x + 6\) with a remainder of 6.
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