Given `4a-2b+c=0` where a,b,c` in` R, which of the following statement is/are not true in general?
1. `(x+2)` will always be a factor of the expression
2. `(x-2)` will always be a factor of the expression `ax^(2) + bx + c.`
3. There will always be a factor of the expression `ax^(2) + bx+ c " different from" (x+2)`
Select the correct answer using the code given below:

Options

A. 1 and 2 only
B. 1,2 and 3
C. 2 only
D. 1 only

Answer

B

Explanation

Given `4a - 2b + c = 0 `
Substitute 2 in the equation , `ax^(2) + bx + c = 0 `
`rArr a(2)^(2) + b (2) + c = 0 `
`rArr 4a + 2b + c= 0 `
`" So," (x-2) " is not the factor "`.
`" Substiute - 2 in the equation " , ax^(2) + bx + c =0 `
`rArr a ( -2)^(2) + b(-2) + c = 0 `
` rArr 4a - 2b + c = 0 `
`" So, (x+2) is the factor . " `
` :. ` Only statement 1 is true.