Question

Write a quadratic function whose zeros are 2 and 12

Answer 1

If one root is
`x_(1)=2`, then one term should be as follows:

• 
  `(x-2)`

Similarly, the other root would be:

• 
  `(x-12)`

If we multiply these two terms, we obtain a second-degree equation:

• 
  `(x-2)(x-12)=0`

If we expand this, we get:

• 
  `(x-2)(x-12)=x^2-12x-2x+24`
• 
  `=x^2-14x+24`