Question

cum se face $2x^{2} -7x+3$?
stiu cum se face de exemplu:

[tex] x^{2} +5x+6 = x^{2} +2x+3x+6 = x(x+2)+3(x+2) = (x+2)(x+3)

[/tex]

dar nu stiu cand e un termen in fata lui x, imi puteti explica?

Answer 1

2x²-7x+3=

a=2
b= -7
c=3

Δ=b²-4ac=  (-7)² -4*2*3= 49- 24=   25

x₁ ;x₂= ( -b² +/- √Δ )/2a=  [ -(-7) +/- √25 ] /2*2=  (7 +/- 5)/4

x₁= (7+5)/4= 12/4=3

x₂= (7-5)/4= 2/4 =1/2

2x²-7x+3= 2( x-3)(x-1/2)   aducem la acelasi numitor in paranteza a2a

=2( x-3) (2x-1)/2  se simplifica si da

=(x-3)(2x-1)

Answer 2

2x² - 7x + 3 = 2x² - 6x - x + 3 = 2x(x - 3) -1(x - 3) = (x - 3) (2x - 1)