Which of the following is equivalent to 7x^2- 27x - 4? A) (x + 4)(7x - 1)B) (x - 2)(7x + 2)C) (x + 2)(7x - 2)E) x(7x - 27 - 4)

We have to determine which of the given options is
equivalent to 7x^2- 27x - 4.

7x^2 - 27x - 4 =
0

=> 7x^2 - 28x + x - 4 =
0

=> 7x(x - 4) + 1(x - 4) =
0

=> (7x + 1)(x -
4)

The options are:

A) (x +
4)(7x - 1) = 7x^2 + 28x - x - 4 = 7x^2 + 27x - 4

B) (x -
2)(7x + 2) = 7x^2 - 14x + 2x - 4 = 7x^2 - 12x - 4

C) (x +
2)(7x - 2) = 7x^2 + 14x - 2x - 4 = 7x^2 + 12x - 4

E) x(7x -
27 - 4) = 7x^2 - 27x - 4x = 7x^2 - 31x

None
of the options given are equivalent to the given expression. The factorized form of
7x^2- 27x - 4 = (7x + 1)(x - 4)