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The Rational Roots Theorem
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Terms in this set (10)
According to the Rational Root Theorem, what are all the potential rational roots of f(x)= 9x^4 - 2x^2 - 3x + 4?
+/- 1/9, +/- 2/9, +/- 1/3, +/- 4/9, +/- 2/3, +/- 1, +/- 4/3, +/- 2, +/- 4
The graph of f(x)= 2x^3 - 19x^2 + 57x - 54 is shown below. How many roots of f(x) are rational numbers?
3
According to the Rational Roots Theorem, which statement about f(x)= 25x^7 - x^6 - 5x^4 + x - 49 is true?
Any national root of f(x) is a factor of -49 divided by a factor of 25.
What is the completely factored form of f(x)= x^3 - 2x^2 - 5x + 6?
f(x)= (x + 2)(x - 3)(x - 1)
Which is a factor of the polynomial f(x)= 6x^4 - 21x^3 - 4x^2 + 24x - 35?
2x - 7
According to the Rational Root Theorem, the following are potential roots of f(x)= 60x^2 - 57x - 18. -6/5, -1/4, 3, 6. Which is an actual root of f(x)?
-1/4
According to the Rational Root Theorem, which number is a potential root of f(x)= 9x^8 + 9x^6 - 12x + 7?
7/3
According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x)= 3x^5 - 2x^4 + 9x^3 - x^2 + 12?
f(x)= 3x^5 - 2x^4 - 9x^3 - x^2 + 3
The polynomial function f(x)= 10x^6 + 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.
The graph of f(x)= x^6 - 2x^4 - 5x^2 + 6 is shown below. How many roots of f(x) are rational numbers?
2
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Verified questions
ALGEBRA2
Which of the following has the highest expected value? F number cube with sides 1, 3, 5, 7, 9, 11 G number cube with sides 2, 4, 6. 8, 10, 12 H spinner divided into 5 equal sections labeled 2, 4, 6, 8.
ALGEBRA
The results of an experiment show that the number of bacteria doubles each hour when food is left out at 90$^\circ$F. If the experiment starts with one bacterium, which of the following does NOT represent the results of the experiment? $$ f(t)=2t $$ $$ f(t)=2^t $$
ALGEBRA
Tara plans to put wallpaper on the walls of her room. She will not put the wallpaper across the doorway, which is 3 feet wide and 7 feet tall. The height of her room is x feet, with a length and width that are each 3 times the height of the room. Her living room which has the same height and width as her bedroom, but has a length that is 5 times greater. The living room has 2 doors that are the same size as the door in her bedroom. If x = 8. how much wallpaper will Tara need for the living room?
PRECALCULUS
List the elements of the sample space. A red die and a green die are rolled.
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