Solutions
Solutions to Try Its
1. 2. The zeros are 2, –2, and –4. 3. There are no rational zeros. 4. The zeros are 5. 6. There must be 4, 2, or 0 positive real roots and 0 negative real roots. The graph shows that there are 2 positive real zeros and 0 negative real zeros. 7. 3 meters by 4 meters by 7 metersSolutions to Odd-Numbered Exercises
1. The theorem can be used to evaluate a polynomial. 3. Rational zeros can be expressed as fractions whereas real zeros include irrational numbers. 5. Polynomial functions can have repeated zeros, so the fact that number is a zero doesn’t preclude it being a zero again. 7. –106 9. 0 11. 255 13. –1 15. –2, 1, 17. –2 19. –3 21. 23. 25. 4, –4, –5 27. 29. 31. 33. 2, 3, –1, –2 35. 37. 39. 41. 43. 45. 47. 1 positive, 1 negative![Graph of f(x)=x^4-x^2-1.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201604/CNX_PreCalc_Figure_03_06_202.jpg)
![Graph of f(x)=x^3-2x^2+x-1.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201605/CNX_PreCalc_Figure_03_06_204.jpg)
![Graph of f(x)=2x^3+37x^2+200x+300.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201608/CNX_PreCalc_Figure_03_06_206.jpg)
![Graph of f(x)=2x^4-5x^3-5x^2+5x+3.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201610/CNX_PreCalc_Figure_03_06_208.jpg)
![Graph of f(x)=10x^4-21x^2+11.](https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201611/CNX_PreCalc_Figure_03_06_210.jpg)