The Rational Roots Theorem

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According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 - 57x - 18. -6/5, -1/4, 3, 6 Which is an actual root of f(x)?

-1/4

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x - 24. -4, -3, 2, 3, 4 Which are actual roots of f(x)?

-4 and 3

Which is a factor of the polynomial f(x) = 6x4 - 21x3 - 4x2 + 24x - 35?

2x - 7

According to the Rational Roots Theorem, which statement about f(x) = 25x7 - x6 - 5x4 + x - 49 is true?

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

According to the Rational Root Theorem, which statement about f(x) = 66x4 - 2x3 + 11x2 + 35 is true?

Any rational root of f(x) is a factor of 35 divided by a factor of 66.

According to the Rational Root Theorem, which statement about f(x) = 12x3 - 5x2 + 6x + 9 is true?

Any rational root of f(x) is a factor of 9 divided by a factor of 12.

The polynomial function f(x) = 10x6 + 7x - 7 is graphed below. According to the rational roots theorem, which is a possible root at point P?

The root at point P may be 7/10.

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 - 6x8 + x3 - 4x + 3?

a

According to the Rational Root Theorem, -7/8 is a potential rational root of which function?

f(x) = 24x7 + 3x6 + 4x3 - x - 28

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 - 2x4 + 9x3 - x2 + 12?

f(x) = 3x5 - 2x4 - 9x3 + x2 - 12


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