if you graphed a quadratic function and notived that it crossed at -2 and 5 what whould the two factors of the function be

Question

if you graphed a quadratic function and notived that it crossed at -2 and 5 what whould the two factors of the function be?

Answer 1

This question has many answers. The ones you are looking for probably are

 

(x+2) and (x-5)

 

However if any of these factors is multiplied by a constant, then the quadratic still would cross at the same spots.

 

For example: (2x+4)(x-5) would be a quadratic crossing at the same values of -2 and 5

 

The quadratic you are probably looking for is Q(x) = (x+2)(x-5) = x²-3x-10

 

with factors of (x+2) and (x-5)

 

But Q(x) could also be any other quadratic Q(x) = C(x²-3x-10) as long as C was not 0.