Determine whether each number is a root of a - 13a² + 12a = 0. Explain. 23.0 24.-1 25.1 26.-4 27.-3 28.3 29. Is -2 a root of b4 - 362-26 + 4 = 0?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1
Determine whether each number is a root of a - 13a² + 12a = 0. Explain.
23.0
24.-1
25.1
26. -4
27.-3
28.3
29. Is -2 a root of b4 - 36²2b + 4 = 0?
-
30. Is -1 a root of x4 - 4x³x² + 4x = 0?
a.
Q
O
31. Each graph represents a polynomial function. State the number of complex
zeros and the number of real zeros of each function.
VA
b.
X
SEP
18
O
(5
CONTENTS
X
0
OO
C.
tv
Write a polynomial equation of least degree for each set of roots. Does the
equation have an odd or even degree? How many times does the graph of the
related function cross the x-axis?
33. −1, 1, 5
36. -5i, -i, i, 5i
Q Search
32. -2,3
34. -2,-0.5, 4
37. -1, 1, 4, 4, 5
35. -3, -2i, 2i
38. Write a polynomial equation of least degree whose roots are − 1, 1, 3, and −3.
4 Polynomial and Rational Functions
www.amc.glencoe.com/self_check_quiz
N
X
graph the related function.
State the number of complex roots of each equation. Then find the roots and
O ♫
W
55. X^- 5X - X + 5 = 0; odd; 3 35. X + 3x² =
4x + 12 = 0; odd; 1 37. x5 - 5x4 - 17x3 +85x2
A
Transcribed Image Text:Help 1 Determine whether each number is a root of a - 13a² + 12a = 0. Explain. 23.0 24.-1 25.1 26. -4 27.-3 28.3 29. Is -2 a root of b4 - 36²2b + 4 = 0? - 30. Is -1 a root of x4 - 4x³x² + 4x = 0? a. Q O 31. Each graph represents a polynomial function. State the number of complex zeros and the number of real zeros of each function. VA b. X SEP 18 O (5 CONTENTS X 0 OO C. tv Write a polynomial equation of least degree for each set of roots. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x-axis? 33. −1, 1, 5 36. -5i, -i, i, 5i Q Search 32. -2,3 34. -2,-0.5, 4 37. -1, 1, 4, 4, 5 35. -3, -2i, 2i 38. Write a polynomial equation of least degree whose roots are − 1, 1, 3, and −3. 4 Polynomial and Rational Functions www.amc.glencoe.com/self_check_quiz N X graph the related function. State the number of complex roots of each equation. Then find the roots and O ♫ W 55. X^- 5X - X + 5 = 0; odd; 3 35. X + 3x² = 4x + 12 = 0; odd; 1 37. x5 - 5x4 - 17x3 +85x2 A
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