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1) Factor by Quadractic formula and find the roots. a) 6x2 - x - 12 b) 8/2 + 43/ + 15 2) A circular pizza
1) Factor by Quadractic formula and find the roots. a) 6x2 - x - 12 b) 8/2 + 43/ + 15 2) A circular pizza has a radius of x cm. a) Write an expression for the area of the pizza. b) Write an expression for the area of a pizza with a radius that is 5 cm greater. c) How much greater is the second area? Write the difference as a simplified expression. 3) For each condition, determine an equation in standard form of a quadratic function that i) has two zeros ii) has one zero 4) Some shortcuts in mental arithmetic are based on factoring. For example, 212 - 19" can be easily calculated mentally with the difference-of-squares method. 212 - 192 = (21 - 19) (21 + 19) = 2(40) = 80 a) 52" - 48' b) 34' - 24'5) The height of a football kicked from the ground is given by the function h(t)= -5t2 + 20t, where h(t) is the height in metres and t is the time in seconds from its release. a) Write the function in factored form b) When will the football hit the ground? 6) explain how you would recognize a polynomial as a perfect square trinomial or as a difference of squares. Then explain how you would factor each one. 7) Determine the equation of each parabola. a) b) (4. 5) (0, 3) 2- 2 0 2 -2- -6- -8
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