Consider the following polynomial function. h(x) = 3x4 + 13x3 - 8x2 - 52x – 16 (a) Determine whether each of the following is a possible rational zero of h(x). Select yes or no for each option. (i) 1 O Yes O No (ii) O Yes No (iii) -1 O Yes O No (iv) 8 O Yes No (b) Use synthetic division to show that -4 is a zero of the given function. Submit your work as a free response. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (c) Find the remaining zeros. (Enter your answers as a comma-separated list.)

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.