Use the given zero to completely factor P(x) into linear factors. Zero: 1 + i; P(x) = x4 -8x³ + 20x²-24x + 12 ○ (x-√√3)(x + √√3)(x-(1 + i))(x - (1 - i)) O (x-3)(x+3)(x - √√√3)(x + √√3)(x + i)(x - i) O (x-(3-√√3))(x - (3+√√3))(x - (1 + i))(x - (1 - i)) O (x-(3+√√3))(x + (3 + √√3))(x − (1 + i))(x - (1 - i))

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the given zero to completely factor P(x) into linear factors.

Zero: 1 + i; P(x) = x4 - 8x3 + 20x2 - 24x + 12

Use the given zero to completely factor P(x) into linear factors.

**Zero: 1 + i; P(x) = x⁴ - 8x³ + 20x² - 24x + 12**

1. \((x - \sqrt{3})(x + \sqrt{3})(x - (1 + i))(x - (1 - i))\)

2. \((x - 3)(x + 3)(x - \sqrt{3})(x + \sqrt{3})(x - i)(x - i)\)

3. \((x - (3 - \sqrt{3}))(x - (3 + \sqrt{3}))(x - (1 + i))(x - (1 - i))\)

4. \((x - (3 + \sqrt{3}))(x + (3 + \sqrt{3}))(x - (1 + i))(x - (1 - i))\)
Transcribed Image Text:Use the given zero to completely factor P(x) into linear factors. **Zero: 1 + i; P(x) = x⁴ - 8x³ + 20x² - 24x + 12** 1. \((x - \sqrt{3})(x + \sqrt{3})(x - (1 + i))(x - (1 - i))\) 2. \((x - 3)(x + 3)(x - \sqrt{3})(x + \sqrt{3})(x - i)(x - i)\) 3. \((x - (3 - \sqrt{3}))(x - (3 + \sqrt{3}))(x - (1 + i))(x - (1 - i))\) 4. \((x - (3 + \sqrt{3}))(x + (3 + \sqrt{3}))(x - (1 + i))(x - (1 - i))\)
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