The Rational Roots Theorem Quiz

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 - 2x2 - 3x + 4? , , , , , 1, , 2, 4 , , , 1, , , 3, , 9 , , , , , 1, , 2, 4 , , , 1, , , 3, , 9

A 1/9,2/9 ,1/3 ,4/9 ,2/3 , 1, 4/3 , 2, 4

What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12? -4/5 and 3/4 -4/5 and -3/4 -1, -4/5 ,3/4 , and 1 -1, -4/5 ,-3/4 , and 1

-4/5 and 3/4

Which is a factor of the polynomial f(x) = 6x4 - 21x3 - 4x2 + 24x - 35? 2x - 7 2x + 7 3x - 7 3x + 7

2x - 7

The graph of f(x) = 2x3 - 19x2 + 57x - 54 is shown below.How many roots of f(x) are rational numbers? 0 1 2 3

3

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 - 12x + 7? 0 2/7 2 7/3

7/3

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

NOT Any rational root of f(x) is a factor of 66 divided by a factor of 35.

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

NOT Any rational root of f(x) is a multiple of 9 divided by a multiple of 12.

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 - 6x8 + x3 - 4x + 3? , , , , , 3 , , , , , , 3, 5, 15 , , 3 , , , 3, 5, 15

NOT D , , , 3, 5, 15

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 5/7 . The root at point P may be 2/7 . The root at point P may be 7/10. The root at point P may be 10/7 .

The root at point P may be 7/10

What is the completely factored form of f(x) = x3 - 2x2 - 5x + 6? f(x) = (x + 2)(x - 3)(x + 6) f(x) = (x + 2)(x - 3)(x - 6) f(x) = (x - 2)(x + 3)(x - 1) f(x) = (x + 2)(x - 3)(x - 1)

f(x) = (x + 2)(x - 3)(x - 1)