Vista Virtual School Math 30-1 Assignment 1.2 Sept 2022 c. Use the Remainder Theorem to determine the remainder when 2x -3x -4x + 5 is divided by x -3. (2 marks) d. Use the Factor Theorem to solve for k, if P(x) = 2x3 -x2 -15x +k and x +2 is a factor of P(x) . (2 marks) NVista Virtual School Math 30-1 Assignment 1.2 Sept 2022 2. A fourth degree polynomial function satises the following conditions: - P(2) > 0 o The graph extends upward in quadrant II :- zeros at 2, land 5 - y-intercept of 5 a. Sketch the graph for this function {2 marks) 10 u _]D b. Determine the equation (in factored form) for this polynomial function. (2 marks) Vista Virtual School Math 30-1 Assignment 1.2 Sept 2022 Vista Virtual School Math 30-1 Assignment 1.2 This assignment is out of 12 marks. To earn full marks for each question, a detailed algebraic solution and/or explanation is required. Review the \"Directing Words\" chart found in the course introduction. Complete all questions before submitting this assignment for grading. Please contact your teacher if you have any questions. 1. a. Use synthetic division to divide x3 5x2 25+ 4 by x3 . Express the division in the form P(x) =Q(x)+ R xa xa .(2 marks) b. Use long division to divide 3x3 8.vr2 + 7x+2 by 3x2 . Express the division in the form P(x) = (30+ R 3x2 3x2 . (2 marks)