According to the rational root theorem, the numbers below are some of the potential roots of f (x) = 10x3 + 29x2 - 66x + 27. Select all that are actual roots. A) - 9/2 B) - 9/10 C) 3/5 D) 1 E) 3

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Mathematics

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25 January, 12:19

According to the rational root theorem, the numbers below are some of the potential roots of f (x) = 10x3 + 29x2 - 66x + 27. Select all that are actual roots. A) - 9/2 B) - 9/10 C) 3/5 D) 1 E) 3

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Sean Forbes · Answer 1

The rational roots are A, C, and D.

If you graph the function the graph will cross at these values.

Also, if you do synthetic division with these roots, the remainder of the division will be 0.