Question 470382: Solve the problem.
Use synthetic division to divide f(x) = x3 + 1x2 - 26x + 24 by x + 6. Use the result to find all zeros of f. Answer by lwsshak3(11628) (Show Source):
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Use synthetic division to divide f(x) = x3 + 1x2 - 26x + 24 by x + 6. Use the result to find all zeros of f.
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-6......1.......1.......-26........24
.................-6.........30......-24
..........1.....-5.........4...........0 (-6 is a zero)
f(x)=(x+6)(x^2-5x+4)
f(x)=(x+6)(x-4)(x-1)
zeros are: -6, 1 and 4