2. The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x--1. It goes through the point (5,48). Develop a formula for P(x). tu 1 X=(1) (x)=0 (X+)(x-1) (5,45) (x-1) (x + 1) (x +o) ) x=-) f(T) =yt 3. Jessica shoots the basketball towards the basket during a game. The path of the ball can be modeled by y=-0.04x² +1.05x +5.4, where x is the distance the ball is from Jessica and y is the height of the ball. (a) What is the highest height the ball reaches? find mat (b) Suppose Jessica makes the basket (the basketball falls into the basket). The basket is 10 feet tall. How far from the basket is Jessica standing?
1. Identify key features of the graph, then find the formula of the polynomial given in the graph. 2 End Behavior: -3 -2 -1 1 2 3 . As x →-0, y → 00 3 As x,y → X-intercepts: (-2,0) (10) (1/2 Y-intercept: (0,-1) 21 Number of Extrema (aka Turns): 2 extrema) 2
2. The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x--1. It
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2. The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x--1. It
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