According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i

Question

3 years ago

11

According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i

s 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.

Mathematics

2 answers:

Kipish [7] · Answer 1 · 2022-08-09T23:05:42+03:00

Kipish [7]3 years ago

8 0

Answer:

Option A is the shorter anwser. It's the same thing as what the other guy said

mr Goodwill [35] · Answer 2 · 2022-08-09T21:54:21+03:00

Answer:

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

Step-by-step explanation:

When you divide the expression by the leading coefficient, the resulting constant term is the product of all the roots. That is 35/66 is the product of all of the roots of the expression.

Any root will be a factor of 35/66. Rational roots will be a factor of 35 divided by a factor of 66.

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When the polynomial is of odd degree, the product of roots is the opposite of the constant divided by the leading coefficient.