Solving Polynomial Equations & Inequations

Solve the following question given in the pictures from 1 to 7

1. Solve the following equations and list all the roots. [9K] a) (x2 - 25) (x7 + 5x - 14) = 0 b) (2x + 7)(x - 3) = x(x - 2) +7 c) 4x4 - 20 = 5x4 - 13x2 + 16 2. Solve the following inequalities algebraically. [9K] a) -(5x - 9) 2 8x - 30 b) 6x+1 9-x c) 10 $ 3(2x - 5) - (3x - 7) $ 25 2 33. Consider the following graph of f(x) and g(x). State the interval where f(x) > g(x). [3A] 4. Solve x(x + 6)(x - B)3(x - 1) > 0 by sketching. Express your answer using interval notation, [5A] 5. Solve -2(x+ 1)(x -4)(x + 7)(2x -5) = 0 using a factor table. Express your answer using interval notation. [5A] 6, Sketch a graph of some function f(x) where the interval for f(x) > 0 is [2,5] and [8,-). [3A] 7. Explain how you know that 5x12 + x* + 9x2