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Section 2 Free Response Support your answers with work to receive credit. Clearly box your final answers. 8. [4 points] Divide using synthetic division: (x

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Section 2 Free Response Support your answers with work to receive credit. Clearly box your final answers. 8. [4 points] Divide using synthetic division: (x + 6) + (x - 2) X 1 - 2 16 - 12 - 2 2 12 9. [4 points] Final all the zeros. Include multiplicity. f (x) = (x- 8)4(x+ 3) 3 (x - 2) to- 0 8 with multiplicity of - 3 with mulppicity of 3 $2 with multiplicity of 1 10. [4 pts] Divide to Simplify 3 + 2i 2- 2ithe zeroes of f (x ) x ( x - 3 (x 15 ) O with multirit , Ar Z N Q 5. Simplify 1 26 5- 1 Wi- A. i B. - i Section 2 C. 1 Free Respo D. - 1 odans _ 2x + 3 6. Choose the correct graph for the rational function g (x) = - x 2 - 16 T -10 7. Describe the end behavior of h(x) = 4x + 65x 5+ 7x - 54x+ 13x+ 3x- x +x+43 A. The graph rises to the left and the right B. The graph falls to the left and the right C. The graph rises to the left and falls to the right D. The graph falls to the left and rises to the right11. [10 pts] Find all roots of the polynomial. f (x) = (x + 3x + 36x + 108) a ) [1] How many solutions does the polynomial fix) have? s solutions b) [1] Use a graphing calculator to identify the first real root of f(x) crosses xaxis - 6:455, 0 c) [3] Use synthetic division to find remaining zeros of f(x) m M 108 -324 54 216 d) [3] Solve to find the remaining zeros of f(x) e) [2] Write all the roots/zeros below: X = x2 - 49 12. [10 pts] For the rational function f (x) = 2 _5x - 14 a) [3] Rewrite by fully factoring the numerator and the denominator. (X+7) (x-7) (x - 79 ( x+2) b) [3] Find the location (point) of any holes in the graph (if there are none say "none" and state why) X- 7: 0 = = 7 +7 +7 c) [2] Find the equation of the vertical asymptote(s) (if there are any) d) [2] Find the equation of the horizontal asymptote(s) (if there are any)

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