MATH121 5.2 Notes
MATH121 5.2 Notes Math 121
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This 2 page Class Notes was uploaded by Mallory McClurg on Tuesday October 18, 2016. The Class Notes belongs to Math 121 at University of Mississippi taught by Dirle in Fall 2016. Since its upload, it has received 4 views. For similar materials see College Algebra in Math at University of Mississippi.
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Date Created: 10/18/16
Math121 Chapter 5 Lesson 5.2 – Polynomial Division and the Division Algorithm EXAMPLE 1. (3x + 10x – 9 )÷ (x + 6) (To divide this, look at the first two parts of the numerator. Ask yourself, what times x equals 3x ? This will be the first part of your quotient. Then, multiply that by the x and the 6, and subtract it from the first two parts of the numerator Then bring down the last part of the numerator and start the process over again. What times x equals -8x? This will be you second part of the quotient. Multiply that by x and 6 and subtract it from the remaining numbers. Whatever is left over when you run out of numbers to bring down and continue the process is your remainder. This will apply to all polynomial long division! Use the q(x)+(r(x)/d(x)) formula, where q(x) is the quotient, r(x) is the remainder, and d(x) is the denominator of the original problem.) 3x – 8 2 x + 6 ⁄ 3x +10x – 9 - (3x + 18x) -8x – 9 - (-8x – 48) 39 3x – 8 + (39/(x + 6)) (This is our answer!) Example 2. (x + 4x – 24x – 12) ÷ (x – 4) (Use the same process as before. First 3 ask, what can I multiply by x to get x ? Continue on through the steps then put it in proper form.) x + 8x 3 2 x – 4 / x + 4x – 24x – 12 - (x – 4x ) 2 8x – 24x 2 - (8x – 32x) 8 2 x + 8x + (8/(x – 4)) (This is our answer!) Math121 Chapter 5
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