Factor Using Algebraic Identities

[nycmathguy]

Factor using algebraic identities.

x^4 + x^2 + 25

 

[MathLover1]

x^4 + x^2 + 25
x^4+3x^3- 3x^3+ 5x^2-9x^2-15x+ 5x^2+15x + 25
(x^4- 3x^3+ 5x^2)+(3x^3-9x^2 +15x)+ (5x^2-15x+ 25)
x^2(x^2- 3x+ 5)+3x(x^2-3x +5)+ 5(x^2-3x+ 5)
(x^2 - 3x + 5) (x^2 + 3 x + 5)

 

[nycmathguy]

x^4 + x^2 + 25
x^4+3x^3- 3x^3+ 5x^2-9x^2-15x+ 5x^2+15x + 25
(x^4- 3x^3+ 5x^2)+(3x^3-9x^2 +15x)+ (5x^2-15x+ 25)
x^2(x^2- 3x+ 5)+3x(x^2-3x +5)+ 5(x^2-3x+ 5)
(x^2 - 3x + 5) (x^2 + 3 x + 5)

Another review of algebra. Just having fun searching for algebra problems on FB.