-which-condition-must-m-and-n-satisfy-so-the-foil-expansion-yields-the-trinomial

Question

Given a trinomial: $$3x2+kx+43x^2 + kx + 4 $$which is factored as: (3x+m)(x+n)(3x + m)(x + n), which condition must mm and nn satisfy in order for the FOIL expansion to give back the original trinomial expression?

Accepted Answer

3n+m=k3n + m = k and m⋅n=4m·n = 4

Answer

m+n=3m + n = 3 and m⋅n=km\cdot n=k

Answer

3m+n=43m + n = 4 and m⋅n=km\cdot n=k

Answer

3m+n=k3m+n=k and m⋅n=4m\cdot n=4

Given a trinomial: 3x2+kx+43x^2 + kx + 4 which is factored as: (3x+m)(x+n)(3x + m)(x + n), which condition must mm and nn satisfy in order for the FOIL expansion to give back the original trinomial expression?

Given a trinomial: $3 x^{2} + k x + 4$ which is factored as: $(3 x + m) (x + n)$ , which condition must $m$ and $n$ satisfy in order for the FOIL expansion to give back the original trinomial expression?