Answer:
The factored form is equivalent to the given equation is (x - 2) (x - 3) (x + 4).
Step-by-step explanation:
Since 2 is a zero of the equation
Therefore, (x - 2) is a factor of the equation
Now, on dividing by (x - 2) we get,
as shown in Fig(1)
On factorising x² + x - 12
= x² + x - 12
= x² + 4x - 3x - 12
= x (x + 4) - 3 (x + 4)
= (x - 3) (x + 4)
Now, =
So the factored form is equivalent to the given equation is (x - 2) (x - 3) (x + 4). Therefore option (c) is the correct answer.
