please show all work - please show all work

Q1.Knowledge = / 6 Expand the equation and find the zeros a) 3x(2x - 3) + 9(x - 1) - x(-x - 11) b) -9(4a - 5) (4a + 5) Q2.Knowledge = / 4 Find the zeros and the maximum or minimum value of each function. a) f(x) = x2+2x-15 b ) f (x ) =-x2+8x-7 Q3. Thinking = / 2; Application = /2 The population of a city, P(t), is given by the function P(t) = 142 + 820t + 42 000, where t is time in years. Note: t = 0 corresponds to the year 2000. a) When will the population reach 56 224? Provide your reasoning. b) What will the population be in 2035? Provide your reasoning. 4) Determine the missing factor. a) x + 9x + 14 = (x + 2) (?) b) a + 3a - 28 = (?)(a + 7) c) 62 - b - 20 = (6- 5) (?) d) -8x + x2 + 15 = (?)(x - 3) 5) Factor. a) 6x- 19x + 10 b) 10a' - 11a - 66) The function h(t) = 1 + 41 - 1.86 models the height of a rock thrown upward on the planet Mars, where h(t) is height in metres and is time in seconds. Use a graph to determine a) the maximum height the rock reaches b) how long the rock will be above the surface of Mars Q7.Communication= / 4 How is factoring a polynomial related to expanding a polynomial? Use an example in your explanation. 08.Communication= / 6 a) Give three examples of polynomials that have a greatest common factor of 7x. b) Factor each polynomial from part (a). 16 Determine the zeros, the axis of symmetry, and the maximum or minimum value for each function. f(x) = x2 + 2x - 35