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

We have to find the factor of the polynomial

1. Consider 2x-7, so let us check whether 2x-7 is a factor of the polynomial or not. Now, we will use the factor theorem, which states:

" A polynomial f(x) has a factor (x - k) if and only if f(k)=0"

Let 2x-7 = 0

2x = 7

Now, we will substitute in the given polynomial

Therefore, by factor theorem  2x-7 is a factor of the given polynomial.

Therefore, Option  A is the correct answer.

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