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Factor (x) into linear factors given that k is a zero. See Example 2 21. f(x) =

ID: 2911874 • Letter: F

Question

Factor (x) into linear factors given that k is a zero. See Example 2 21. f(x) = 2x3-3x2-17x+30; k-2 22. f(x) = 2x3-3x2-5x + 6;! 23. f(x) = 6x3 + 13x2-14x + 3: k =-3 24. f(x) = 6x3 + 17x2-63x + 10: k =-5 25. f(x)-6x3 + 25x2 + 3x-4; k =-4 26, f(x) = 8x3 + 50x2 + 47x-15; k =-5 27, f(x) =z? + (7-3)x2 + (12-21 i)x-36i; k-3i 28, f(x) = 2x3 + (3 + 2i)x, + (1 + 3)x + i; k--i 29. f(x) = 2x3 + (3-2)x2 + (-8-5)x + (3 + 3); k-1 + i 30. f(x) = 6x3 + (19-6)x2 + (16-7)x + (4-2): k =-2 + i 31, f(x) = x4 + 2x3-7x2-20x-12; -2 (multiplicity 2) 32. f(x) = 2x4 + x3-9x2-13x-5; k =-1 (multiplicity 3)

Explanation / Answer

f(x) = x^3 + (7 – 3i)x^2 + (12 – 21i)x – 36i;    k = 3i

f(x) = (x – 3i)(x^2 + 7x + 12)

f(x) = (x – 3i)(x+4)(x+3)