For questions 1, determine whether each expression is a monomial. If so, determine its degree. 1. a _3 - 531:3 . ( ) 3"?\"sz (1 Pmt) (b) 3?? (1 point) For questions 2 - 5, determine whether each expression is a polynomial. 2. fix) - 3x +ng -? (1 point) 3. g(x]- -5x3 +I3; (1 point) 4.1m: x345+x3 (1 point) 5. km - 25x1 x3 + x5 (1 point) For questions 6 - 8, write each polynomial in standard form. Name each polynomial according to its degree and the number of terms. Then, state all the following information for each function: degree, leading coefficient, and constant term. 6. m(x) = x+ x -1 (2 points) Standard form: Polynomial name: Degree: Leading coefficient: Constant term: 7. d(x) = x+ (2 points) Standard form: Polynomial name: Degree: Leading coefficient: Constant term: 8. w(x) = 2-6x2 +11x3 (2 points) Standard form: Polynomial name: Degree: Leading coefficient: Constant term:For questions 9 - 1U, evaluate the function at the indicated value, using the technique indicated. 9. Find w(-3) using synthetic substitution: (2 points) wixj=11x3 -5x2 +2 10. Find m(5) using direct substitution: (2 points) ma=x+x24 For questions 11 -12, divide. Use synthetic division, if possible. 11. 06' +5? x2-5x+1]+[X-2] (2 points) 12. 0:3 +9)? 5;v+11]+[)(2 +2) (2 points) For question 13, list the possible zeros for the polynomial. 13. h(x) = 2x3 +5x2 -31x-15 (1 point) For question 14, use Descartes' rule of signs to describe possible combinations of roots for the polynomial. 14. h(x) = 2x3 +5x2 -31x -15 (1 point) For questions 15 - 17, solve each polynomial equation. 15. 15x3 -119x2 - 10x+16 =0 (2 points) 16. x3 -14x2 + 47x - 18 = 0 (2 points) 17. 5x3 -27x2 -17x-6 = 0 (2 points)For questions 18 - 19, describe the end behavior of the graph for each function. 18. f(x) = x3 +2x2 -5x+1 (1 point) 19. g(x) = -2x - 8x7 +18x+72 (1 point) For questions 20 - 21, find the intercepts and relative extrema for the graph of each function. 20. f(x) = =(x+2)(x- 1)? (1 point) 21. h(x) = 2x3 +5x2 - 25x (1 point)For questions 20 - 25, sketch the graph of each function. 22. gm: -2x3 3x1 +1Bx+?2 (2 points) (2 points) x+3 1'l X 24. km- 4 (2 points) _ 2:81 5x545 25. .r(x) For questions 26 - 29, identify the asymptotes, removable discontinuities, and intercepts for the graph of each function. 26. dix) = x -12x +20 (2 points) 3x 27. z(x)= x" -7x-8 (2 points) X +64 28. f(x) = 2x -3x+1 (2 points) x -5x+7 _ x +4x-5 (2 points) 29. y= 2+8x +15For question 30, state the domain and range of the function. 30. k(x) = 4x +3 x2 - 1 (2 points)