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Of.the correct answer. Write your answer on the space provided before the number. 1. Which of thề following statements is/are true when f(c)=0? „A. The expression x-c is a factor of f(x). C. both A and B B. The remainder is 0 when f(x) is divided by xC. D. neither A nor B 2. How many variations in rign

Of.the correct answer. Write your answer on the space provided before the number. 1. Which of thề following statements is/are true when f(c)=0? „A. The expression x-c is a factor of f(x). C. both A and B B. The remainder is 0 when f(x) is divided by xC. D. neither A nor B 2. How many variations in rign

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Mulupie Choice. Choose the letter of the corect answer, Write your answer on the space provided before the number. 1. Which of thề following statements is/are true when f(c)=0? „A. The expression x-c is a factor of f(x). C. both A and B B. The remainder is 0 when f(x) is divided by xC. D. neither A nor B 2. How many variations in signs are there in the polynomial function f(x) = x2+2x+2? A. 0 В. 1 C. 2 3. How many possible positive rational zeros does the polynomial function f(x) = 2x – x2 +2x -2 have? D. 3 A. 0 В. 1 C. 1 or 3 4. How many possible negative rational zeros does the polynomial function in item 3 have? D. 0 or 2 А. О В. 1 C. 1 or 3 D. 0 or 2 5. Which of the following statements is/are true when x* -17x2 +16 is divided by x+1? B. The quotient is x3-x2-16x+16. A. The remainder is zero. C. both A and B D. neither A nor B 6. How many zeros does the polynomial function of degree 3 have? A. 0 В. 1 C. 2 D. 3 7. If one of the zeros of polynomial function is 1-i, what is the other zero? D. -i A. 1-i B. 1 +i. C. i 8. Which of the following is not a possible zero of the polynomial function f(x) = x3 -2x +5 according to the Rational Zero Theorem? А.-5 В. -1 С. 1/5 D. 1 9. What are the zeros of the polynomial function f(x) = x2 +2x +1? C. 1 and 1 D. 1 and 2 A. -1 and -1 B. -1 and 1 10. Which of the following is a factor of the polynomial function f(x) = x* -1? В.х - 1 А. х- 2 C, x +2 D. x +4 11. Which of the following is an upper bound of the zeros.of the polynomial function f(x) = 2x*- x² +x-14? С. 1 D.7 A. -2 В. -1 12. Which of the following is a lower bound of the zeros of the polynomiał function in item 11? A. -2 В. -1 С. 1 D. 7 13. Which of the following are the zeros of the polynomial function f(x) = x³ - 3x2-9x-5? A. -1, -1, and 5 14. Which of the following is a polynomial function? A. f(x) = 5/x +3 15. What is the remainder when x³ - 1 is divided by x-1? А. -1 C. -1, 1, and 5 D. 1, 1, and 5 B. -1, 1, and -5 C. f(x) = D. HX) = x² + %3D B. f(x) = V5 x2+2x +3 x+5 %3D С. 1 D. 2 В. О
Transcribed Image Text:Mulupie Choice. Choose the letter of the corect answer, Write your answer on the space provided before the number. 1. Which of thề following statements is/are true when f(c)=0? „A. The expression x-c is a factor of f(x). C. both A and B B. The remainder is 0 when f(x) is divided by xC. D. neither A nor B 2. How many variations in signs are there in the polynomial function f(x) = x2+2x+2? A. 0 В. 1 C. 2 3. How many possible positive rational zeros does the polynomial function f(x) = 2x – x2 +2x -2 have? D. 3 A. 0 В. 1 C. 1 or 3 4. How many possible negative rational zeros does the polynomial function in item 3 have? D. 0 or 2 А. О В. 1 C. 1 or 3 D. 0 or 2 5. Which of the following statements is/are true when x* -17x2 +16 is divided by x+1? B. The quotient is x3-x2-16x+16. A. The remainder is zero. C. both A and B D. neither A nor B 6. How many zeros does the polynomial function of degree 3 have? A. 0 В. 1 C. 2 D. 3 7. If one of the zeros of polynomial function is 1-i, what is the other zero? D. -i A. 1-i B. 1 +i. C. i 8. Which of the following is not a possible zero of the polynomial function f(x) = x3 -2x +5 according to the Rational Zero Theorem? А.-5 В. -1 С. 1/5 D. 1 9. What are the zeros of the polynomial function f(x) = x2 +2x +1? C. 1 and 1 D. 1 and 2 A. -1 and -1 B. -1 and 1 10. Which of the following is a factor of the polynomial function f(x) = x* -1? В.х - 1 А. х- 2 C, x +2 D. x +4 11. Which of the following is an upper bound of the zeros.of the polynomial function f(x) = 2x*- x² +x-14? С. 1 D.7 A. -2 В. -1 12. Which of the following is a lower bound of the zeros of the polynomiał function in item 11? A. -2 В. -1 С. 1 D. 7 13. Which of the following are the zeros of the polynomial function f(x) = x³ - 3x2-9x-5? A. -1, -1, and 5 14. Which of the following is a polynomial function? A. f(x) = 5/x +3 15. What is the remainder when x³ - 1 is divided by x-1? А. -1 C. -1, 1, and 5 D. 1, 1, and 5 B. -1, 1, and -5 C. f(x) = D. HX) = x² + %3D B. f(x) = V5 x2+2x +3 x+5 %3D С. 1 D. 2 В. О
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