Factor 5x^2 + 19x - 4

hello : 5x² + 19x - 4 = (x+4) (5x - 1)

Step-by-step explanation:

5x² + 19x - 4

calculate Δ = b² - 4ac ... a = 5 b = 19 c = - 4

Δ = 19² - 4 (5) (-4) = 361+80 = 441 = 21²

x1 = (-19 - 21) / 10 x2 = (-19+21) / 10

x1 = - 40/10 = - 4 x2 = 2/10 = 1/5

note : ax²+bx + c = a (x - x1) (x - x2) ... a ≠0

5x² + 19x - 4 = 5 (x + 4) (x - 1/5)

5x² + 19x - 4 = (x+4) (5x - 1)