Exponents and Polynomials - XYZ Custom Plus

12.4 Problem Set 793Problem set 12.4Moving Toward SuccessNOT FOR SALE. Copyright XYZtextbooks Last re“Success is a state of mind. If you want success, start thinkingof yourself as a success.”—Dr. Joyce Brothers, 1927–present, American psychologist1. How do you intend to prevent setbacks fromkeeping you from your goals?2. If you receive a poor score on a quiz or test, doyour study habits need to be reevaluated? Whyor why not?Identify each of the following polynomials as a trinomial, binomial, or monomial, and give the degree in each case. [Example 1]1. 2x 3 − 3x 2 + 1Trinomial, 35. 2x − 1Binomial, 19. 7a 2Monomial, 22. 4x 2 − 4x + 1Trinomial, 26. 4 + 7xBinomial, 110. 90xMonomial, 1A Perform the following additions and subtractions. [Examples 2–5]13. (2x 2 + 3x + 4) + (3x 2 + 2x + 5)5x 2 + 5x + 915. (3a 2 − 4a + 1) + (2a 2 − 5a + 6)5a 2 − 9a + 717. x 2 + 4x + 2x + 8x 2 + 6x + 819. 6x 2 − 3x − 10x + 56x 2 − 13x + 521. x 2 − 3x + 3x − 9x 2 − 923. 3y 2 − 5y − 6y + 103y 2 − 11y + 1025. (6x 3 − 4x 2 + 2x) + (9x 2 − 6x + 3)6x 3 + 5x 2 − 4x + 327. ​ 2 _3 x 2 − 1 _5 x − 3 _4 ​ +​​ ​​ 4 _3 x 2 − 4 _5 x + 7 _4​2x 2 − x + 13. 5 + 8a − 9a 3Trinomial, 37. 45x 2 − 1Binomial, 211. −4Monomial, 014. (x 2 + 5x + 6) + (x 2 + 3x + 4)2x 2 + 8x + 1016. (5a 2 − 2a + 7) + (4a 2 − 3a + 2)9a 2 − 5a + 918. x 2 + 5x − 3x − 15x 2 + 2x − 1520. 10x 2 + 30x − 2x − 610x 2 + 28x − 622. x 2 − 5x + 5x − 25x 2 − 2524. y 2 − 18y + 2y − 12y 2 − 16y − 1226. (5x 3 + 2x 2 + 3x) + (2x 2 + 5x + 1)5x 3 + 4x 2 + 8x + 14. 6 + 12x 3 + x 4Trinomial, 48. 3a 3 + 8Binomial, 312. 56Monomial, 028. ​ 3 _8 x 3 − 5 _7 x 2 − 2 _5 ​ +​​ ​​ 5 _8 x 3 − 2 _7 x 2 + 7 _5​x 3 − x 2 + 1