What Is A Factor Of This Polynomial? X2-x+2? What Is A Factor Of This Polynomial? 9-4xy-y2-x2?

X² - x + 2

= x² - 2x + x + 2

= x(x - 2) + (x - 2)

= (x - 2)(x + 1)

Factors of x² - x + 2
are  (x - 2) and (x + 1)

9 - 4xy - y² - x²

x = {-b + √(b²- 4ac)}/2a

x = {-4y + √(16y²- 4(1)(y² - 9)}/2(1)

x = {-4y + √(12y²+ 36)}/2

x = {-4y + √12(y²+ 3)}/2

x = {-4y + √2*2*3(y²+ 3)}/2

x = {-4y + 2√3(y²+ 3)}/2

x = 2{-2y + √3(y²+ 3)}/2

x = -2y + √3(y²+ 3)

Factors of 9 - 4xy - y² - x²   are {-2y + √3(y²+ 3)} and {-2y - √3(y²+ 3)}