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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 65HP
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2784a1d7-f588-45ff-bf3b-610132f74539%2Fe76ce5ba-d979-4db8-821d-bec82b8e82f5%2Fgmo58hu_processed.jpeg&w=3840&q=75)
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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