correctly-describes-the-pair-of-numbers-m-and-n-used-to-factor-x2-bx-c-as-x-mx-n

Question

Which condition correctly describes the pair of numbers m and n used to factor $$x2+bx+cx^2 + bx + c as (x+m)(x+n)(x + m)(x + n$$)?

Accepted Answer

They must satisfy m+n=bm + n = b and m⋅n=cm\cdot n=c

Answer

They must satisfy m2+n2=$$b2m^2$$ + $$n^2$$ = $$b^2$$ and m⋅n=cm\cdot n=c, which follows from a Pythagorean-like identity applied to coefficient relationships

Answer

They must satisfy m+n=cm + n = c and m−n=bm - n = b

Answer

They must satisfy m⋅n=bm\cdot n=b and m+n=cm + n = c

Which condition correctly describes the pair of numbers m and n used to factor x2+bx+cx^2 + bx + c as (x+m)(x+n)(x + m)(x + n)?

Which condition correctly describes the pair of numbers m and n used to factor $x^{2} + b x + c$ as $(x + m) (x + n)$ ?