1a) If -5 is one root of the equation 5x³ + kx + 14 = 0, then the value of k is...

Match the following equations with their fully factored form. 1b) Hint: You do not need to factor the polynomials on the right. (x + 1)2(3x - 2) 1. x3 + 3x2 - x - 3 (x - 1)(x -2)(x - 3)(x - 4) 2. x4 - 2x2 - 3 (x2 + 1)(x2 - 3) 3. x4 - 10x3 + 35x2 - 50x + 24 4. 3x3 + 4x2 - x - 2 (x - 1)(x + 1)(x + 3) 1c) Match the following equations with the set of values for x that should be tested to determine their possible zeroes +1, +2, +3, 14, 16, +12 1. x3 - 2x2 + 3x - 12 +1, +2, +3, +4, 16, +12, +1/2, +3/2 2. 3x3 - 2x2 + 3x - 12 +1, +2, +5, +10, +1/2, +5/2 3. 2x3 - 5x2 + 5x - 12 +1, +2, 13, 14, 16, +12, 4. 2x3 - 3x2 + 3x - 10 v +1/3, +2/3, 14/3