Which factors can be multiplied together to make the trinomial 5x^2+8x-4

Step-by-step explanation:

hello:

5x²+8x-4 quadratic expression when : a = 5 and b=8 and c = - 4

∆ = b²-4ac ∆ = 8²-4 (5) (-4) = 64 + 80 = 144 = 12²

X1 = (-b - √∆) / 2a X1 = (-8-12) / 10 = - 20/10 = - 2

X2 = (-b+√∆) / 2a X2 = (-8+12) / 10 = 4/10 = 2/5

us factorisation : a (X-X1) (X-X2)

5x²+8x-4 = 5 (x+2) (x-2/5) = (x+2) (5x-2)

you can verify; (x+2) (5x-2) = 5x²-2x+10x-4 = 5x²+8x-4