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2-3 The Remainder and Factor Theorems

2-3 The Remainder and Factor Theorems Factor each polynomial completely using the given Factor and long division. 1. x3 + 2x2 23x 60; x + 4. SOLUTION: 3 2 2. So, x + 2x 23x 60 = (x + 4)(x 2x 15). 3 2. Factoring the quadratic expression yields x + 2x 23x 60 = (x + 4)(x 5)(x + 3). 2. x3 + 2x2 21x + 18; x 3. SOLUTION: 3 2 2. So, x + 2x 21x + 18 = (x 3)(x + 5x 6). 3 2. Factoring the quadratic expression yields x + 2x 21x + 18 = (x 3)(x + 6)(x 1). 3. x3 + 3x2 18x 40; x 4. SOLUTION: 3 2 2. So, x + 3x 18x 40 = (x 4)(x + 7x + 10). 3 2. Factoring the quadratic expression yields x + 3x 18x 40 = (x 4)(x + 2)(x + 5). eSolutions Manual - Powered by Cognero Page 1.

Use the Remainder Theorem to find the distance traveled after 45 seconds. 62/87,21 To find the distance traveled after 45 seconds, use synthetic substitution to evaluate d(t) for t = 45. The remainder is 540, so d(45) = 540. Therefore, 540 meters were traveled in 45 seconds.

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