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What are the possible rational roots of f(x) = x4 – 173x3 – 16x2 – 7x – 15, according to the rational root theorem? “±” means “plus or minus”.Question 5Select one:a.{1, 3, 5, 15}b.{±1, ±3, ±5, ±15}c.{±1/15, ±3/15, ±1, ±3, ±5, ±15}d.{±1, ±5, ±1/3, ±5/3, ±1/5, ±1/15}e.None of these

Question

What are the possible rational roots of f(x) = x4 – 173x3 – 16x2 – 7x – 15, according to the rational root theorem? “±” means “plus or minus”.Question 5Select one:a.{1, 3, 5, 15}b.{±1, ±3, ±5, ±15}c.{±1/15, ±3/15, ±1, ±3, ±5, ±15}d.{±1, ±5, ±1/3, ±5/3, ±1/5, ±1/15}e.None of these

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Solution

The possible rational roots of f(x) = x4 – 173x3 – 16x2 – 7x – 15, according to the rational root theorem, can be found by considering the factors of the constant term (-15) divided by the factors of the leading coefficient (1).

The factors of -15 are ±1, ±3, ±5, and ±15. The factors of 1 are ±1.

Combining these factors, we get the possible rational roots as ±1, ±3, ±5, and ±15.

Therefore, the correct answer is option b. {±1, ±3, ±5, ±15}.

This problem has been solved

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