Simplify each of the following expressions. 1. (x2 + 3x - 9) + (-4x2 + 2x-3) 2. (x - 2) (3x + 5) 3. (r + 3) 2 4. (p2 + 4p-23) - (3p2-23p - 23) 5. (5z-2)(5z+ 2) 6. (2m - 4)(m2 + 2m + 4)Describe and correct the error. 7. (3x - 2)(2x - 3) = 3x(2x - 3) - 2(2x - 3) = 6x2 - 9x - 4x - 6 = 6x2 - 13x - 6 Completely factor the following expressions. 8. 12 + 4 tv + 4v2 9. z2 + 11z -42 10. 4x2 - 8x - 12 + 6x 11. 144-9p 12. 5c2 - 24cd - 5d2 13. w2 - 15w + 5414. 256z2 -4-192z2 + 3 15. 2a-c3 - 14bc3 + 320'd 16. 4582 + 128 - 9 17. 3-5132 + 210j Use factoring and the zero-product property to solve the following problems. 18. z(z - 1)(z + 3) =0 19. x- x- 2=4ALGEBRA 1 Exam 9 - Continu 20. 4a2 - 10a + 6 =0 21. 972 - 30r + 21 =-4 Solve the follwing word problems. Conor wants to put a moat around his rectangular castle. Let m = the width of the moat. 22. Given the diagram to the right, write a -60 ft- polynomial that represents the total area of the castle and moat. m Castle u 23. Find the combined area if the moat is 10 feet wide. 24. If the moat is also 10 feet deep, calculate how many gallons of water are in the moat if 1 gallon ~ 0.134 ft3. Round your answer to the gallon.Eye color is determined by genetic combination. Let R represent the gene for brown eyes and I represent the gene for blue eyes. Any gene combination including R results in brown eyes. Consider the offspring of a parent with a homozygous brown-eyed, RR, gene combination and a parent with a heterozygous brown-eyed, RI, gene combination. 25. Show how you could use a polynomial to model the possible genetic combinations of the offspring. 26. What percent of the possible genetic combinations result in brown-eyed offspring? 27. What percent of the possible genetic combinations are carriers for the blue-eyed gene? 28. Fill in the Punnett square below to model your conclusions.29. A bird sitting 16 feet above the ground in an apple tree dislodges an apple. After how many seconds does the apple land on the ground? (Assume no branches interfere with its fall.) A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second. 30. Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. 31. Find the height (in feet) of the football 2 seconds after the punt. 32. Calculate how many seconds after the punt the ball would hit the ground