32) 32 ) x2 + 4x - 12=0 33) x2 4 5x = 36 34) 34 ) 7x ( 8x - 7) = 0 Solve. 35) 35) The sum of a number and its square is 30. Find the number. 36) An object is thrown upward from the top of a 160-foot building with an initial velocity of 36) 48 feet per second. The height h of the object after t seconds is given by the quadratic equation h = -16t2 + 48t + 160. When will the object hit the ground? Divide. 37) (16x3 - 17x) + (4x - 1) Use synthetic division to divide. 38) 38) (8x2+67x - 45) + (x+9) For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 39) P(x) = x2+2x -2; -4 Rationalize the denominator and simplify. Assume that all variables represent positive real numbers 40 ) - 41) 2 4-13 Write in terms of i. 42) V-184 Perform the indicated operation. Write the result in the form a + bi. 43) (5 + 51) - (-7 + i) 44) 91(8 - 61) 45) (8 + 91)(8 - 91) 46) 9 + 1 Use the square root property to solve the equation. 47) x2 + 64= 0cont shift fn 58) 53) f ( x ) = -3(x + 2) 2+ + .. ... . . . . . . . . . 07 :. . . . . . . . . . . for . . . . . . . . . . . . . . . . . . . .. . .. .. . .... . . . ... ... .. . . . . . . . . . . " of . . . . . . . . . . . . . . . . .. . . . fo.. . . . .. . . . i. . . .. ... - fo. . . . . . . . . . . :-10 5.. - - 5 -' . ' . . . . . . . . . .f. . . . . . . . . . . . . . . . . . . .f. . . . . . . . . . . . . . . . . .... .-of... . . . . . . . . . . Find the vertex of the graph of the quadratic function. 59) f ( x ) = - x2 - 4x + Match the function with its graph 60) f (x) = -x2 - 6x - 8delete return 48 ) ( x - 5)2 = 36 48) trinomial. Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the 49 ) x2 + 2x + Solve the equation by completing the square. 50) x2 + 12x = -21 50) Use the quadratic formula to solve the equation. 51) x2 - 13x + 40 =0 52) x2 + 8x + 20= 0 53 ) 6x2 + 10x + 2= 0 Use the discriminant to determine the number and type of solutions of the equation. 54) x2+ 6x + 9=0 54) 55 ) x2 + 3x + 6= 0 Solve. 56) The product of a number and 8 less than the number is 153. Find the number. Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. 57 ) f ( x ) = ( x + 1) 2 + 4 . . . . . . . . . . . . . . . . . . . . . . . . f........... -10 . -5 5. .. : 10 x . ... t.... ....... . . . . . . . . . . . . . . . . .. . . . . . . t.. . . . . . . . +. .. t. . -107: . . . LO