Calculus: An Applied Approach (Providence College: MTH 109)
9th Edition
ISBN: 9781285142616
Author: Ron Larson
Publisher: CENGAGE C
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Chapter A4, Problem 73E
To determine
To calculate: The factor the polynomial
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In Exercises 12–20, find all zeros of each polynomial function.
Then graph the function.
12. f(x) = (x – 2)°(x + 1)³
13. f(x) = -(x – 2)(x + 1)?
14. f(x) = x - xr? – 4x + 4
15. f(x) = x* - 5x² + 4
16. f(x) = -(x + 1)°
17. f(x) = -6x³ + 7x? - 1
18. f(x) = 2r³ – 2x
19. f(x) = x - 2x² + 26x
20. f(x) = -x + 5x² – 5x – 3
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For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples.
• In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2).
• Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5).
To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that
x + 4 = (x + 2i)(x – 2i).
115. а. х
- 9
116. а. х?
- 100
117. а. х
- 64
b. x + 9
b. + 100
b. x + 64
118. а. х — 25
119. а. х— 3
120. а. х — 11
b. x + 25
b. x + 3
b. x + 11
(4) Find a polynomial that has 1+i and 1- i as zeros.
Chapter A4 Solutions
Calculus: An Applied Approach (Providence College: MTH 109)
Ch. A4 - Prob. 1CPCh. A4 - Prob. 2CPCh. A4 - Prob. 3CPCh. A4 - Prob. 4CPCh. A4 - Prob. 1ECh. A4 - Prob. 2ECh. A4 - Prob. 3ECh. A4 - Prob. 4ECh. A4 - Prob. 5ECh. A4 - Prob. 6E
Ch. A4 - Prob. 7ECh. A4 - Prob. 8ECh. A4 - Prob. 9ECh. A4 - Prob. 10ECh. A4 - Prob. 11ECh. A4 - Prob. 12ECh. A4 - Prob. 13ECh. A4 - Prob. 14ECh. A4 - Prob. 15ECh. A4 - Prob. 16ECh. A4 - Factoring Polynomials In Exercises 9-18, write the...Ch. A4 - Prob. 18ECh. A4 - Prob. 19ECh. A4 - Prob. 20ECh. A4 - Prob. 21ECh. A4 - Prob. 22ECh. A4 - Prob. 23ECh. A4 - Prob. 24ECh. A4 - Prob. 25ECh. A4 - Prob. 26ECh. A4 - Prob. 27ECh. A4 - Prob. 28ECh. A4 - Prob. 29ECh. A4 - Prob. 30ECh. A4 - Prob. 31ECh. A4 - Prob. 32ECh. A4 - Prob. 33ECh. A4 - Prob. 34ECh. A4 - Prob. 35ECh. A4 - Prob. 36ECh. A4 - Prob. 37ECh. A4 - Prob. 38ECh. A4 - Prob. 39ECh. A4 - Prob. 40ECh. A4 - Prob. 41ECh. A4 - Prob. 42ECh. A4 - Prob. 43ECh. A4 - Prob. 44ECh. A4 - Prob. 45ECh. A4 - Prob. 46ECh. A4 - Prob. 47ECh. A4 - Prob. 48ECh. A4 - Prob. 49ECh. A4 - Prob. 50ECh. A4 - Prob. 51ECh. A4 - Prob. 52ECh. A4 - Prob. 53ECh. A4 - Prob. 54ECh. A4 - Prob. 55ECh. A4 - Prob. 56ECh. A4 - Prob. 57ECh. A4 - Prob. 58ECh. A4 - Prob. 59ECh. A4 - Prob. 60ECh. A4 - Prob. 61ECh. A4 - Prob. 62ECh. A4 - Prob. 63ECh. A4 - Prob. 64ECh. A4 - Prob. 65ECh. A4 - Prob. 66ECh. A4 - Prob. 67ECh. A4 - Prob. 68ECh. A4 - Prob. 69ECh. A4 - Prob. 70ECh. A4 - Prob. 71ECh. A4 - Prob. 72ECh. A4 - Prob. 73ECh. A4 - Prob. 74ECh. A4 - Prob. 75ECh. A4 - Prob. 76E
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