x3+6x2+5x-3 6. Find the quotient and the remainder of: x+4 a] by using Long Division. b) by using Synthetic Division. 7. Ifa ball is thrown directly upward with a velocity of 40 ft/sec, its height (in feet] after t seconds is given by Mt) = 4Dt 16t2. What is the maximum height attained by the ball? 8. Find all the rational zeros of 4x3 7x + 3. 9. Given P(x) = x\" + 3x2 9 a) Factor P(x) b) List all its zeros. 1 10. Describe how you would use transformations of the graph of f (x) = ; 1 to graph f(x) = E - 3. 1. Sketch the graph of the function f (x) = x2 + 6x + 5. Find its vertex. Find its x-intercepts. Find its y-intercept. u a 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -3 in A 2. Given P(x) = 6(x - 3)2(x - 1)3(x + 4). State its zeros and their multiplicities. 3. Find a polynomial of degree 5 with zeros 3, 2, -5, and - i. [You may leave in factored form as linear and irreducible quadratic factors.] 4. List all the possible rational zeros of 4x4 - 5x3 + x2 - 9. [Do not actually find the zeros.] 5. Sketch the graph of the function: P(x) = -(x - 3)2(x + 1). Be sure to include end behavior and its x-intercepts and y-intercept. OTTTTY1. Sketch the graph of the function f (x) = x2 + 6x + 5. Find its vertex. Find its x-intercepts. Find its y-intercept. u a 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -3 in A 2. Given P(x) = 6(x - 3)2(x - 1)3(x + 4). State its zeros and their multiplicities. 3. Find a polynomial of degree 5 with zeros 3, 2, -5, and - i. [You may leave in factored form as linear and irreducible quadratic factors.] 4. List all the possible rational zeros of 4x4 - 5x3 + x2 - 9. [Do not actually find the zeros.] 5. Sketch the graph of the function: P(x) = -(x - 3)2(x + 1). Be sure to include end behavior and its x-intercepts and y-intercept. OTTTTY