According to the rational root theorem, which could be a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

a. 2x – 7
b. 2x + 7
c. 3x – 7
d. 3x + 7

Answer with explanation:

The given Polynomial function is

By Rational root Theorem ,factors of the above expression can be

That is , by observing at the options, the factors of the given expression could be

Substituting these four  Values one by one  in the Polynomial function

As,we have to find single factor,you will find that,

So,

is the factor of the polynomial.

Option A: 2 x -7

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