Hey i need help with these questions please help out. Please fully answer these questions with procedure and steps. Thanks very much

Vista Virtual School Math 30-1 Assignment 1 Summer 20 Vista Virtual School Math 30-1 Assignment 1 Summer 2023 a. Use long division to divide 4x' - 7x-8 by 2x -1. Express the division in the form Vista Virtual School Math 30-1 Assignment 1 Summer 2023 P(x) = Q(x) +R 7. Algebraically determine the solution to - 1 90 by writing both sides with the same base. (2 2x-1 )+ 2x_1. (2 marks) marks) 5. Given the function, y = - 6x+ 3 2x3 - 5x-3. algebraically determine the solutions for the chart below. (6 marks total) Show all algebraic steps & calculations (1 mark): Vista Virtual School Math 30-1 Assignment 1 Summer 2023 2 . Consider the function f ( x ) = x - 2x . a. Sketch the graphs of y = f(x) and y = \\f(x) on the grid below. (2 marks) b. Use the Remainder Theorem to determine the remainder when 3x - 2x - 4x +5 is divided t x-3. (1 mark) N Characteristic Solution Justification (0.5 marks each) (0.5 marks each) C. Use the Factor Theorem to solve for k, if P(x) =2x' -3x -13x +k and x +2 is a factor of P(x) . (1 mark) x-intercept -5 -4 -3 -2 -1 5 7 y-intercept Equation of vertical asymptote(s) 7 b. Use interval notation to state the domain and range of y = \\f(x) . (1 mark). Equation of horizontal asymptote(s) C. Algebraically determine the coordinates of any points of intersection between the two Point of discontinuity functions. State all answers as exact values in reduced form. Hint: Quadratic equations may be solved by factoring, completing the square or by using the quadratic formula. (2 marks)