32. Lander divided (3x - 14x - 5x2 - 10) by (x + 3) and obtained a remainder of -16. Here is his solution. 31 3 -5 -14 -10 12 -6 3 4 -2 -16 What is his error? A. He did not arrange the terms of the polynomial in decreasing power of x. B. The sum in the third row is incorrect. C. He did not change the sign of the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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32. Lander divided (3x - 14x - 5x - 10) by
(x + 3) and obtained a remainder of -16.
Here is his solution.
31 3
-5
-14
-10
9
12
-6
3
4
-2
-16
What is his error?
A. He did not arrange the terms of the
polynomial in decreasing power of x.
B. The sum in the third row is incorrect.
C. He did not change the sign of the
divisor.
D. The numerical coefficient in the first
row were not properly written.
33. What is the remainder when 3x + 2x? -
3x + 4 is divided by (x - 2)?
А. 10
В. 27
С. 30
D. 14
34. Which of the following is a factor of (2x -
13x? + 17x + 12)?
A. x + 4
В. х - 3
С. х + 2
D. x - 1
35. Which polynomial equals (a?-a-3) with a
remainder of -3 when divided by (a-2)?
А. а + За? -а + 3
В. аз - а?- а + 3
Transcribed Image Text:3:19 PM A O O O A ll 37 FQA.docx View only 32. Lander divided (3x - 14x - 5x - 10) by (x + 3) and obtained a remainder of -16. Here is his solution. 31 3 -5 -14 -10 9 12 -6 3 4 -2 -16 What is his error? A. He did not arrange the terms of the polynomial in decreasing power of x. B. The sum in the third row is incorrect. C. He did not change the sign of the divisor. D. The numerical coefficient in the first row were not properly written. 33. What is the remainder when 3x + 2x? - 3x + 4 is divided by (x - 2)? А. 10 В. 27 С. 30 D. 14 34. Which of the following is a factor of (2x - 13x? + 17x + 12)? A. x + 4 В. х - 3 С. х + 2 D. x - 1 35. Which polynomial equals (a?-a-3) with a remainder of -3 when divided by (a-2)? А. а + За? -а + 3 В. аз - а?- а + 3
3:19 PM A O O O A
.ll E 37
35. Which polynomial equals (a?-a-3) with a
remainder of -3 when divided by (a-2)?
А. аз + За? -а + 3
В. аз- а? - а+3
С. аз
D. a - За? -а + 3
За? + а + 3
36. What is the value of k such that (x + 2) is
a factor of (3x + kz? + 5x + 6)?
А. 9
С. 7
В. 8
D. 10
37. When (2x*-7x3 - 15х2 + 7kx- 21) is
divided by (x - 3), the remainder is 6. What is
the value of k?
A. 21
С. 9
В. 12
D. 3
38. Factor 27x³ + 64 completely.
A. (3x + 4)(3x²– 12x + 16)
В. (Зх + 4)(9х2-12х + 16)
С. (3x + 4)(9х*-24х + 16)
D. (3x + 4)(9x²+ 12x + 16)
39. What is the factored form of (x*+ x + x² +
x)?
A. x(x + 1)( x² + 1)
В. (х + 1)(x? + 1)
С. Х(х- 1)(х? + 1)
D. x(x - 1)( x - 1)
Transcribed Image Text:3:19 PM A O O O A .ll E 37 35. Which polynomial equals (a?-a-3) with a remainder of -3 when divided by (a-2)? А. аз + За? -а + 3 В. аз- а? - а+3 С. аз D. a - За? -а + 3 За? + а + 3 36. What is the value of k such that (x + 2) is a factor of (3x + kz? + 5x + 6)? А. 9 С. 7 В. 8 D. 10 37. When (2x*-7x3 - 15х2 + 7kx- 21) is divided by (x - 3), the remainder is 6. What is the value of k? A. 21 С. 9 В. 12 D. 3 38. Factor 27x³ + 64 completely. A. (3x + 4)(3x²– 12x + 16) В. (Зх + 4)(9х2-12х + 16) С. (3x + 4)(9х*-24х + 16) D. (3x + 4)(9x²+ 12x + 16) 39. What is the factored form of (x*+ x + x² + x)? A. x(x + 1)( x² + 1) В. (х + 1)(x? + 1) С. Х(х- 1)(х? + 1) D. x(x - 1)( x - 1)
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