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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. (5 points)4, -8, and 2 + 3i 

Find the zeros of the polynomial function and state the multiplicity of each. (5 points)f(x) = 5(x + 6)2(x – 6)3  

Divide using synthetic division, and write a summary statement in fraction form. (5 points)    

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)

Find the exact value of the composition. sin (arctan (2)) (5 points)

Find the zeros of the function. (5 points) f(x) = x2 + 3x + 2  

Choose the graph of y = 1.5sin x. (5 points)

Find all solutions to the equation. (6 points) cos x = –

Find the exact value of the real number y. y = csc-1(1) (5 points)

Use the Rational Zeros Theorem to write a list of all potential rational zeros. f(x) = x3 – 7×2 + 9x – 24 (5 points)