Factor x 2 5x 4
Asked by maham237 @ in Mathematics viewed by 416 People
Show all work to factor x^4 - 5x^2 + 4 completely
Answered by maham237 @
Answer:
(x+1) (x-1) (x+2) (x-2)
Step-by-step explanation:
let u=x^2
=u^2-5u+4
break groups into extensions; (u^2-u) + (-4u+4)
factor out -4 from -4u+4; u(u-1)-4(u-1)
factor out common term u-1; (u-1) (u-4)
substitute back u=x^2; =(x^2-1) (x^2-4)
factor x^2-1; (x+1) (x-1) (x^2-4)
factor x^2-4; (x+1) (x-1) (x+2) (x-2)
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