Divide the polynomial, P(x) = 6x4 +11x binomial 2x+1 using polynomial long division. - 20x+7 by the The polynomial, P(x) = 2x + kx + x 1 has the same remainder - - when divided by X 1 as it does when divided by X of k. - 2. Determine the value Algebraically show that the polynomial P(x) = = 24x- 26x+9x11 has no integer factors. 26x+9x Factor the polynomial P(x) = 24x- 26x + 9x - 1 using the Factor Theorem. Note: This is the same polynomial as the previous question, so you've already done some of the work. Determine an equation (in simplified form) for a polynomial function that has roots of -5 (order 3), and 23 that passes through the point (0, 3). Use Desmos to find the values of x that satisfy the following inequality. Be careful to check the graph carefully for all solutions. You may wish to attach a screenshot(s) of your graphs as part of your full solutions. - - (x+15)(x+2)(x 4) < 2(x+3)(x 1)(x 9) - Solve the following inequality algebraically. Your answer should include a number line or table showing test points used to determine your answer. Note: 2 of your roots are irrational. x-3x+x+10