Can you please explain how to solve these step by step? I am having trouble especially with factoring. Thank you so much for your time and help.

1. [-/1 Points] DETAILS OSPRECALC1 3.4.271. Use the graph to write the formula for a polynomial function of least degree. f( x ) = X -6 -4 -2 2 4 6 -2/ -4 Additional Materials2. [0/1 Points] DETAILS PREVIOUS ANSWERS STITZPRECALC3 2.4.018. Solve the inequality. Express your answer in interval form. (If there is no solution, enter NO SOLUTION 49x- + 14x + 1 > 0 *= X 3. [1/1 Points] DETAILS PREVIOUS ANSWERS WEBASSIGNIIALG2 7.7.002B. Identify the test intervals for the polynomial inequality. x(x - 5)(3x + 8) so O (-00, -5), (-5, 0), (0, 5). (300) O (-00, - 8), (- 8, 5), (5, 80) (-20, - 2), (- 2, 0), (0, 5), (5, 20 ) O (-00, - 2). (- 3, 0), (0, 5), (5, co ) O (-20, 0), (0, 5), (5, 20)4. [-/1 Points] DETAILS WEBASSIGNIIALG2 7.7.003B. Solve the polynomial inequality. (If your answer is an interval, enter your answer in interval notation. If your answer is a finite set of real numbers, enter your answers as a comma separated list. If there is no real solution, enter NO SOLUTION.) x(x + 4)(2x - 1) 2 06. [-/1 Points] DETAILS WEBASSIGNIIALG2 7.7.003F. Solve the polynomial inequality. (If your answer is an interval, enter your answer in interval notation. If your answer is a finite set of real numbers, enter your answers as a comma separated list. If there is no real solution, enter NO SOLUTION.) x2 ( x + 2) 4 ( x - 5)3