m^2-16=0

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m^2-16=0

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For eg. - when the roots of an equation is a and b. Then we simply write (x-a)(x-b)

and then multiply the whole bracket my simply multiplying all the elements with the another element. As if the roots are +a and -b, So we write (x-a)(x+b). So the sign of the roots are opposite.

It can also be explained as when we put the roots in the equation, we are simply putting different values of x in the equation. As the roots are a and b

we take x=a⇒(x-a)=0 and x=b⇒(x-b)=0

and just multiply these brackets and you will get the equation with he roots a and b