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

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

Answer 2

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

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.