KNOWLEDGE/UNDERSTANDING [10 marks] 1. When a polynomial p(x) is divided by x+3 the quotient is x2 - 4x + 5 with a remainder of 7. [3 marks total] a) Express this division in quotient form. [1 mark] b) What is the polynomial, p(x), in standard form? [2 marks] 2. When P(x) = (kx3 + 3x2 - 12x - 3) is divided by x+1, the remainder is 4. Determine the value of k. [3 marks] 3. Solve (-3x)(x + 7)(x - 2) 2 0, using an interval chart. Express your answer in proper set notation. [4 marks] Zeroes factors Answer: APPLICATION [12 marks] 1. The population of a town, t years from now, is modelled by P(t)= t'-7t? +7t +115 where P(t) is measured in thousands of people. When is the population of this town greater than 100 thousand people? Be sure to include a therefore statement and interpret your results in the context of this question. [6 marks]