Question

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.

Answer 1

Answer:

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

Step-by-step explanation:

According to the rational root theorem:

if $a_{0}$ and $a_{n}$ are non zero then each rational solution x will be:

x= +/- Factors of $a_{0}$ / Factors of  $a_{n}$

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

$a_{0}$ = 35

$a_{n}$ = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

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

Answer 2

Answer:

A

Step-by-step explanation:

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