A linear function, h(x), and a degree 4 polynomial function, P(x). The leading coefficient of P(x) can NOT be | 11, the -intercept of both graphs can NOT be 0. h(x) can not be a horizontal nor vertical line. One of the factors of P(x) must be repeated 2 times, one of the zeros of P(x) must be a fraction. The zeros should have a mix of positive and negative numbers. P(x) and h(x) intersect with each other, and there are at least two points of intersections (POls), which x-coordinates of those two of the POIs must be integers/fractions. The POIS CAN NOT be on the x-axis. 2. HANDWRITTEN REPORT: Your report will include the following: State h(x) and P(x) in standard form. Step-by-step how-to factor P(x), you need to state the correct theorem(s) to support your work. Determine all features needed to graph P(x). Show all your work. A well-labelled graph, by hand or using a graphing tool, that contains both h(x) and P(x) within the same axes. Show intersections of the graphs clearly. Determine the intervals when h(x) P(x), algebraically. Show all your work. Check your work using the graph from Desmos. Based on the graph, indicate the intervals of increase and decrease.