a)
[tex]f(x)=3x-6x^2 + 2(x^2-1,5x)=3x-6x^2 + 2x^2-3x=-4x^2\\a=-4,\ b=0,\ c=0[/tex]
b)
[tex]f(x)=x^2-2(\sqrt2x^2+4)=x^2-2\sqrt2x^2-8=(1-2\sqrt2)x^2-8\\a=1-2\sqrt2,\ b=0,\ c=-8[/tex]
c)
[tex]f(x)=2x^2 + x(5\pi-x)=2x^2+5\pi x-x^2=x^2+5\pi x\\a=1,\ b=5\pi,\ c=0[/tex]
d)
[tex]f(x) = (4-x)(4+x) + 3(x-1)=16-x^2+3x-3=-x^2+3x+13\\a=-1, \ b=3,\ c=13[/tex]
e)
[tex]f(x)=(3x-7)^2=9x^2-42x+49\\a=9,\ b=-42,\ c=49[/tex]
f)
[tex]f(x)=2-(x-\sqrt3)^2=2-(x^2-2\sqrt3 x+3)=2-x^2+2\sqrt3 x-3=-x^2+2\sqrt3 x-1\\a=-1,\ b=2\sqrt3,\ c=-1[/tex]
