Please answer two attachments 3.3:

Assignments 8. Use long division to verify that V1 = V2 . Grafton Library V1 = - x* - 3x2 - 1 x2 + 5 and V2 = X - 8+ 39 Syllabus x2 + 5 Center for Student Success 10. V1= * *+ x2 - 1 x2 + 1 and 1 2 = x 2 - x2 + 1 Discussions a. Use a graphing utility (https://www.desmos.com/calculator) to graph the two equations in the same viewing window b. use the graphs to verify that the expressions are equivalent c. use long division to verify the results algebraically 12. Use long division to divide. (5x2 - 17x - 12) + (x-4) 18. Use long division to divide. (x3+ 125) + (x+5) 28. Use synthetic division do divide. (5x3+ 18x2 +7x-6)+(x+3) 40. Use synthetic division do divide. x3-729 x - 9 48. Write the function in the form f(x) = (x - K)q(X) + for the given value of k and demonstrate that f ( K ) = r . f(x) = x3-5x2- 11x +8, k = -256. Use the Remainder Theorem and synthetic division to find each function value. Verify your answers using another method. g (x) = 2x0 + 3x4 - x2 + 3 a. g(2) b. g(1) c. g(3) d. g(-1) 60. Use synthetic division to show that x is a solution of the third-degree polynomial equation, and sue the result to factor the polynomial completely. List all real solutions of the equation. f (x) = x' - 28x - 48 = 0, X = -4 68. f(x) = 3x3 + 2x2 - 19x +6 factors: (x + 3), (x - 2) a. verify the given factors of f(x) b. find the remaining factor(s) of f(x) c. use your results to write the complete factorizion of f(x) d. list all real zeros of f e. confirm your results by using a graphing utility to graph the function 82. Simplify the rational expression by using long or synthetic division. x3 + x2-64x -64 x + 8 11