Question

Descompuneti in factori:

a) x^2 - 5x+4=
b)x^2-5x+6=
c)x^2-7x+10=
d)x^2-10x+24=

Answer 1

x^2-5x+4=x^2-x-4x+4=x(x-1)-4(x-1)=(x-1)(x-4)
x^2-5x+6=x^2--2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)
x^2-7x+10=x^2--2x-5x+10=x(x-2)-5(x-2)=(x-2)(x-5)
x^2-10x+24=x^2--4x-6x+24=x(x-4)-6(x-4)=(x-4)(x-6)

Answer 2

a) x² - 5x+4=x²-4x-x+4= x(x-4)-(x-4)= (x-1)(x-4)
b)x²-5x+6=x²-3x-2x+6= x(x-3)-2(x-3)= (x-2)(x-3)
c)x²-7x+10=x²-2x-5x+10=x(x-2)-5(x-2)= (x-2)(x-5)
d)x²-10x+24=x²4x-6x+24=x(x-4)-6(x-4)= (x-4)(x-6)