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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?
Plus-or-minus one-ninth, Plus-or-minus two-ninths, Plus-or-minus one-third, Plus-or-minus four-ninths, Plus-or-minus two-thirds, Plus-or-minus1, Plus-or-minus four-thirds, Plus-or-minus2, Plus-or-minus4
Plus-or-minus one-fourth, Plus-or-minus one-half, Plus-or-minus three-fourths, Plus-or-minus1, Plus-or-minus three-halves, Plus-or-minus nine-fourths, Plus-or-minus3, Plus-or-minus nine-halves, Plus-or-minus9
One-ninth, Two-ninths, One-third, Four-ninths, Two-thirds, 1, Four-thirds, 2, 4
One-fourth, One-half, Three-fourths, 1, Three-halves, Nine-fourths, 3, Nine-halves, 9

Sagot :

sqdancefan

Answer:

  (a)  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

Step-by-step explanation:

The leading coefficient is 9; the constant is 4. The rational roots will be ...

  ±(divisor of 4)/(divisor of 9)

The divisors of 4 are 1, 2, 4. The divisors of 9 are 1, 3, 9. Then the rational roots can be any of ...

  ±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

kmjkse

Answer:

±1/9, ±2/9, ±1/3, ±4/9, ±2/3, ±1, ±4/3, ±2, ±4

Step-by-step explanation:

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