42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x + 4x? - 4x = 0 B. x*- 8x + 12x? + 32x - 64 = 0 C. 2x* - 8x + 2x? - 8x - 8 = 0 D. x* + 12x? + 32x - 64 0 43. When x + 3x2 + mx + n is divided by (x + 2), the remainder is 9. When it is divided by (x - 3), the remainder is 49. What is the value of m? A. 1 В. 2 С. -2 D. -1 44. What are the possible rational roots of the equation 2x* - 8x³ + 2x² - 8x - 6 = 0? A. 土1,土2,土3,土6,土1/2,土3/2 B. 土1,土2,土3,土6 C. ±1/2,+3/2 D. ½ 45. One of the roots of the polynomial equation 3x + x - 8x + 4 =0 is -2. Find the other roots? A. 1 and 4 B. 1 and 2/3 C. C.-1 and 3/2 D. 2 and -1/3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
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Question
3:19 PM A O O O A
.all E 37
42. What is the polynomial equation whose
roots are {-2, 2, and 4 of multiplicity 2}
A. 2x* - 2x + 4x? - 4x = 0
B. x* - 8x + 12x? + 32x - 64 = 0
C. 2x* - 8x + 2x? – 8x – 8 = 0
D. x*+ 12x? + 32x - 64 = 0
43. When x + 3x + mx + n is divided by (x +
2), the remainder is 9. When it is divided by
(x – 3), the remainder is 49. What is the value
of m?
A. 1
В. 2
C. -2
D. -1
44. What are the possible rational roots of
the equation 2x*- 8x + 2x? - 8x - 6 = 0?
A. 土1,土2,土3,土6,土1/2,土3/2
B. +1,+2,±3,±6
C. 土1/2,土3/2
D. 2
45. One of the roots of the polynomial
equation 3x + x² - 8x + 4 = 0 is -2. Find the
other roots?
A. 1 and 4
B. 1 and 2/3
C. C.-1 and 3/2
D. 2 and -1/3
46. What are the roots of 2x - x? - 13x - 6 =
Transcribed Image Text:3:19 PM A O O O A .all E 37 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x + 4x? - 4x = 0 B. x* - 8x + 12x? + 32x - 64 = 0 C. 2x* - 8x + 2x? – 8x – 8 = 0 D. x*+ 12x? + 32x - 64 = 0 43. When x + 3x + mx + n is divided by (x + 2), the remainder is 9. When it is divided by (x – 3), the remainder is 49. What is the value of m? A. 1 В. 2 C. -2 D. -1 44. What are the possible rational roots of the equation 2x*- 8x + 2x? - 8x - 6 = 0? A. 土1,土2,土3,土6,土1/2,土3/2 B. +1,+2,±3,±6 C. 土1/2,土3/2 D. 2 45. One of the roots of the polynomial equation 3x + x² - 8x + 4 = 0 is -2. Find the other roots? A. 1 and 4 B. 1 and 2/3 C. C.-1 and 3/2 D. 2 and -1/3 46. What are the roots of 2x - x? - 13x - 6 =
3:19 PM A O O O A
.ll E 37
39. What is the factored form of (x*+ x + x² +
х)?
A. x(x + 1)( x² + 1)
В. (х + 1)(x* + 1)
С. Х(х - 1)(х? + 1)
D. x(x - 1)( x - 1)
40. One of the factors of the polynomial (x³ +
6x? - 13x - 42) is (x - 3). What are the other
two factors of the polynomial?
A. (x + 7)(x + 2)
В. (х + 3)(х + 2)
С. (х- 7)(х- 2)
D. (x + 9)(x + 2)
41. Which of the following illustrates a
polynomial equation?
A. 2x + 5x? - x = 0
B. Vx + 2 = 0
С. -За - а +
- 3 = 0
a
D. 5x3 + 2x2 + 4 0
42. What is the polynomial equation whose
roots are {-2, 2, and 4 of multiplicity 2}
А. 2х*- 2х3 + 4x?-4х %3D 0
Transcribed Image Text:3:19 PM A O O O A .ll E 37 39. What is the factored form of (x*+ x + x² + х)? A. x(x + 1)( x² + 1) В. (х + 1)(x* + 1) С. Х(х - 1)(х? + 1) D. x(x - 1)( x - 1) 40. One of the factors of the polynomial (x³ + 6x? - 13x - 42) is (x - 3). What are the other two factors of the polynomial? A. (x + 7)(x + 2) В. (х + 3)(х + 2) С. (х- 7)(х- 2) D. (x + 9)(x + 2) 41. Which of the following illustrates a polynomial equation? A. 2x + 5x? - x = 0 B. Vx + 2 = 0 С. -За - а + - 3 = 0 a D. 5x3 + 2x2 + 4 0 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} А. 2х*- 2х3 + 4x?-4х %3D 0
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