a. Factor the polynomial over the set of real numbers. b. Factor the polynomial over the set of complex numbers. 107. f(x) x* + 2x + x + 8x – 12 108. f(x) x* - 6x + 9x бх + 8 = 109. f(x) x* + 2x - 35 110. f(x) = x* + 8x? - 33 111. Find all fourth roots of 1, by solving the equation x = 1. (Hint: Find the zeros of the polynomial f(x) = x* – 1.) 112. Find all sixth roots of 1, by solving the equation x° by factoring x - 1 as (x 113. Use the rational zero theorem to show that V5 is an irrational number. (Hint: Show that f(x) = x – 5 has no rational zeros.) = 1. [Hint: Find the zeros of the polynomial f(x) = x° 1. Begin - 1)(x' + 1).] 114. a. Given a linear equation ax + b = 0 (a ± 0), the solution is given by x = b. Given a quadratic equation ax + bx + c = 0 (a + 0), the solutions are given by x =

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