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A long jumper leaves the ground at an angle of 17 above the horizontal, at a speed of 11 m/s. The height of the jumper can be )i h(x) = 0.053x" +0.365x, where & is the jumper's height in meters and x is the horizontal distance from the point of launch. Part: 0 / 3 Part 1 of 3 (a) At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. The long jumper reaches a maximum height when the horizontal distance from the point of launch is approximately meters. Define a quadratic function v = (x) that satisfies the given conditions. Axis of symmetry x = 4, minimum value 3, passes through (14, 39). Determine the end behavior of the graph of the function. f (x ) = X + 7 As x - - 00, f (x) - and as x - co, f (x) -. - OO X 5Find the zeros of the function and state the multiplicities. g (x) =x -4x3 +4x+ If there is more than one answer, separate them with commas. Select "None" if applicable. Part: 0 / 2 Part 1 of 2 The zero(s) of g: 0,0,... None X 5Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. (a) Determine the minimum degree of the polynamial. (b) Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) Approximate the real zeros of the function, and determine if their multiplicities are even or odd. Consider the division of two polynomials: f(\\) + (.\\' c). The result of the synthetic division process is shown here. Write the polynomials representing the (a) Dividend, (b) Divisor, (c) Quotient, and (d) Remainder. 4 2 10 5 7 22 8 -8 -12 =20 2 -2 -3 -5 2 Part: 0 / 4 Part 1 of 4 (a) The dividend is /() Given a polynomial (x), the quotient has a remainder of 25. What is the value of (3)? Given g (x) = -7x +7x*+5x- -x+7, Part 1 of 2 (a) Evaluate g (2). 8 (2) = X 5 Part 2 of 2 (b) Determine the remainder when g (x) is divided by (x -2). The remainder is X 5Use the remainder theorem to determine if the given number is a zero of the polynomial. n(x)= 4x 22x 8x+44 @c=-/2 Part 1 of 2 (a) c = \\/E (Choose one) |a zero of the polynomial. |