Question

Which of the following is the correct factored form of the given equation?

4x^2 - 11x + 6 = 0

(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0

Answer 1

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Answer 2

Answer: The correct option is (C)
`(4x-3)(x-2)=0.`

Step-by-step explanation: We are given to select the correct factored form of the following quadratic equation.

`4x^2-11x+6=0`

To do so, we need to factorize the left hand side of the above equation.

We have

`4x^2-11x+6=0\\\\\Rightarrow 4x^2-8x-3x+6=0\\\\\Rightarrow 4x(x-2)-3(x-2)=0\\\\\Rightarrow (4x-3)(x-2)=0.`

Therefore, the correct factored form of the given equation is

`(4x-3)(x-2)=0.`

Thus, (C) is the correct option.