The Rational Roots Theorem Answers
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1
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The graph of f(x) = 2x3 – 19x2 + 57x – 54 is shown below. How many roots of f(x) are rational numbers?
A
0B
1C
2D
32
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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?
A
The root at point P may be .
B
The root at point P may be .
C
The root at point P may be .
D
The root at point P may be .
3
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?
A
, , , , , 1, , 2, 4
B
, , , 1, , , 3, , 9
C
, , , , , 1, , 2, 4
D
, , , 1, , , 3, , 9
4
Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
A
2x – 7B
2x + 7C
3x – 7D
3x + 75
According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true?
A
Any rational root of f(x) is a factor of 35 divided by a factor of 66.B
Any rational root of f(x) is a multiple of 35 divided by a multiple of 66.C
Any rational root of f(x) is a factor of 66 divided by a factor of 35.D
Any rational root of f(x) is a multiple of 66 divided by a multiple of 35.6
According to the Rational Root Theorem, is a potential rational root of which function?
A
f(x) = 24x7 + 3x6 + 4x3 – x – 28B
f(x) = 28x7 + 3x6 + 4x3 – x – 24C
f(x) = 30x7 + 3x6 + 4x3 – x – 56D
f(x) = 56x7 + 3x6 + 4x3 – x – 30Did you find these answers helpful?
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