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(a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 2x +7x + 98x+343, that is, solve f(x)

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(a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 2x +7x + 98x+343, that is, solve f(x) = 0. (b) Factor f(x) into linear factors. (a) Select the correct choice below and fill in any answer box(es) within your choice. (Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) A. There are only rational zeros and they are OB. There is only one rational zero, , and the other zeros are C. There are no rational zeros. The other zeros are (b) The factorization of f(x) into linear factors is (Type an expression using x as the variable. Use integers or fractions for any numbers in the expression.)

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