Question

X^ + 4x - 12 = o where did the student go wrong

Step 1 . Factor the polynomial into ( x + 6) and (x - 2)
Step 2. X-6=0 and x+2=0
Step 3. X=6 and X=-2

Answer 1

Step 2: X-6=0 and X-2=0 not X+2=0.
Step 3: X=6 and X=2

Answer 2

Step 2. X-6=0 and x+2=0 and

Step 3. X=6 and X=-2

Explanation:

To solve the given quadratic equation
`x^(2) +4x -12 = 0`, we look for factors of -12 which add up to give 4.

`x^(2) +4x-12 = 0`

`x^(2) +6x - 2x-12 = 0`

`x(x+6)-2(x+6) = 0`

`(x+6)(x-2)`

`x= -6 and  x=2`

Step 2 should be x + 6 = 0 and x - 2 = 0;

and step 3 should be x = -6 and x = 2 therefore step 2 and step 3 are wrong.