Question: Please complete this assignment in its entirety, justifying your answers as you go. Using a method other than the requested method will not earn full

Please complete this assignment in its entirety,Please complete this assignment in its entirety,Please complete this assignment in its entirety,
Please complete this assignment in its entirety, justifying your answers as you go. Using a method other than the requested method will not earn full credit. 1. List all of the possible rational roots of the polynomial p(x) = 3x5 + 2x\" 4x3 + 11x2 12. Do not solve. If 2 + 31' is a zero ofa polynomial function with real coefficients, what MUST be another root of the function? Why? Write a polynomial function with real coefficients, a scale factor of 1, and zeros x=~5 and x=3+ 4i in factored form. Then convert your answer to general form. (Hint: think about what you just answered in #2 to be sure you get all ofthe factors!) 4. Given 3 is a zero of p(x) = 2x3 - 3x1 - 29x + 60, find all zeros of p(x). Then write p(x) as a product of linear factors. Zeros: Factored form of p(x): 5. Given 5 4i is a zero of q(x)=3x' 29x3 + 111x2 + 61x82, find all zeros of q(x). Then write q(x) as a product of linearfactors. Zeros: Factored form of p(x): 6. Write each polynomial as a product of linear factors. a.y=5x32x220x+8 b.y=3x3+4x2+3x+4 c.y=x\"6x27 7. Find all complex solutions to each polynomial equation algebraically. (Do not use graphing technology.) Show all steps, including synthetic division you try (even if it doesn't work). (Hint: try factoring first! Three of them can be factored right away!) a.x3+x2=2x+2 b.x3=2x+x2 c.x5x\"7x3+7x2+ 12x12=0 d. 2x316x2+43x38=0 8. Use your results from 7a to solve the inequality x3 + x2 2x 2

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