Question: 16. If Plan) is divided by D(x), which will give a remainder of 47 a. P(x) - X - 4% + 6x + 2; D(x)

16. If Plan) is divided by D(x), which will give a remainder of 47 a. P(x) - X - 4% + 6x + 2; D(x) = X - 1 b. P(x) X - 4x 4 6x - 7: D( X) = x - 1 & AMP-X - 3x . 1: D(x) = x + 1 d. Pix) = x - 4 x + 8; D(xx + 1 17. 'If the roots of P(x) are-2, 3, and 4, what polynomial equation can be formed c. x] + 5 - 2x - 24 - 0 a. X-r - 14x -24-0 d. x - 9x + 26x - 24 = 0 b. x - 5x - 2x + 24 = 0 18. Find the positive value of x in the equation 2(x - 5) = -x. 5 -2 5 d. b. 2 2 19. Which of the following lists the set of all rational zeros of x + 3x" + 4x + 12-(9 a. [-31 c. {-3, -2, 2) b. ( 3, 2) d. (-3, -2, 1. 2) 20. The length of a Ping Pong table is 2 ft less than twice the width. The area of the Ping Pong table is 40 fi . What is the length of the table? a. Aft C. 8 ft b. 5 ft d. 10 ft P(x) 21. Find Ofx)= when P(x) = 6x - 11x - 19x - 15x -6 and D(x) = 3x + 2. D(X) a. 21 - 3x + 5x- 3 c. 2x - 5x7 + 3x - 3 b 2x - 31 - 5x - 3 d. 2x - 5x - 3x - 3 22. If 5x - 16x - 19x - 4x - 15 is divided by x - 3x - 5, what is the quotient? a. 5x- x - 3 c. 5x7 + x - 3 b. 5X - x + 3 d. 5x7 + x + 3 23. What is the quotient of (x - 4x - 9x3 + x -x + 21) + (x + 2)? a. x - 6x3 + 3x3 - 5x + 9 + 3 x + 2 b. x' - 6x' + 3x - 6x - 10 + 6 x + 2 c. x - 6x) + 3x3 - 5x - 9+ 3 x +2 d. x' - 5x3 + 3x - 6x + 9 + X + 2 92 Math for Innovative Minds 10Math Test + Encircle the letter of the correct answer. "when Pix) = 4 + 7 - 4x - x + 6 and D(x) = x + 2 1. Find ofx) - P(x) D(x) C. 4x + 2x3 + 2x + 3 a. 4 - 2 -2x +3 d. 4x - x - 2x + 3 b. 4x 4 x 4 2x + 3 2. What is the quotient when art -3x -18x + 15x - 10 is divided by x2 - c. 4x7 - 2x + 3 a. 4x + 3x -2 d. 4x + 2x - 3 b. 4x - 3x 4 2 3. Determine the quotient of (6x - 2) + (3x - 1). 2 16 c. 2x +-x+ a 2 +x 2 3 3 9 9 (3x - 1) 16 2 2 b. 2 + =x+ 2 d. 2x X + 9 9(3x - 1) 3 9 4. Given a polynomial P(x), P(3) = 0. Which of the following is correct? a. x = 3 is not a root C. x - 3 is a factor b. x = 3 is a root d. x + 4 is not a factor 5, How many roots does the equation 4x - 5x = 15 have? b. 2 C. 3 4 6. Which of the following polynomials has a factor of x + 3? a. x + 2x + 2x + 15 b. P - 4r - 2x + 15 c x- x - 23x + 15 d. x + 7x7 + 13x + 15 7. A fourth degree polynomial is found to have exactly two real roots. What must true about the two other roots? a. One root is real and the other root is imaginary. b. Both roots must be real. c. Both are imaginary roots and complex conjugates. d. All the roots have been found. B. Which of the following is a polynomial equation? n. 2Vx =5 b. X - 1 X - 5 0 C. (x - 2)(2x + 3) =0 d. 2x3 - x - 12 = 0 90 Math for Innovative Minds 10". What are the rational roots of 4x' - 23x 4 26x + 8 - 07 a. 4.2 -4 b. (-1, 1. 2) d. (-1, 1. - 2) 10. The floor area of a square room is 121 m . What is the length of the wall of the room? a. 10 m 12 m b. 11 m 13 m 1.1. Find O(x) - P(x) D(x) when P(x) - 6x - 5x + 5x - 2 and D(x) = 2x - 1. a. 3x - 2x + 2 c 3x-x+ 2 b. 3x - x- 2 d, 3x - 2x + 2 12. Find the quotient when 3x- 10x + 13x -17x + 9x - 4 is divided by 3x - x + 4. a X - 3x - 2x - 1 c x- 2+ 3x - 1 b. x + 3x - 2x + 1 d. x + 2x - 3x + 1 13. Simplify * + x +1 X +3 a. x! - 2x + X +3 7 b. x -2+ c. x - 3x + 9x - 26x + 78 233 x +3 269 be d. x - 3x + 10x - 30x + 90- x +3 14. Which of the following statements is not true when x - a is a root of P(x)? a. P(a) -0. b. P(x) is exactly divisible by x - a. c. x a is a factor of P(x). d. (0, a) is a y-intercept of the graph of y = P(x). 15. How many possible rational zeros does the polynomial P(x) = 7x - x + 3 have? a. 2 6 b. 4 d. 8 Sequences and Polynomial Functions 9124. Find the remainder when 2x - 10x . 13x- 3 is divided by x - 3. b. 3 C. -6 d. G 25. How many possible rational zeros does the polynomial P(x) - 2x* + 3x - 4x- 12 have? a. 9 C. 18 12 d 24. 26. Which is the complete factored form of x' - 2x- 5x + 67 a. (x - 1)(x - 2)(x . 3) c. (x- 1)(x - 2)(x - 2) b. (x + 1)(x - 2)(x + 3) d. (x - 1)(x = 2)(x - 3) 27. What is the polynomial equation for P(x) if its roots are 1 1 and 27 a. 4x - 212 + 21x - 4 =0 G 4x - 8x - x+ 2 = 0 b. 4x - 16x - x + 4 =0 d. 4x - 5x - 7x + 2 = 0 28. Find the rational root of 28 - 7x # 15x - 25 =0. 5 2 5 b. 2 29. What are the rational roots of 4x + 7x) - 14x - 21x + 6 =0? a. 3. V3 . . 2 C. -3,3. 1. -2 d. -2 30. The width of a photo is 5 inches less than its length. A border of 2 inches is placed around the photo. The area covered by the photo and it's border is 104 in . Find the width of the photo itself. a. 4 in C. 79 in b. 8 in d. 13 in Sequences and Polynomial Functions 93

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