Question

How is factoring is used to solve quadratic equations?

Answer 1

when we factor quads, it tends to give us 2 equations to solve:

(x+__)(x-___) right?

Answer 2

we know that zero times any number = 0

Answer 3

it leads to the zero product property that says if ab = 0 then either a = 0 or b =0, thus we can find solutions to the quadratic.

Answer 4

so there are 2 possible solutions

the left can be made zero OR the right can be made zero and both values will be a valid solution

Answer 5

thank you that makes sense

Answer 6

youre welcome :)