Question

x^4 + x^2 + 1=______
factorise this polynomial
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Answer 1

Answer:

(x+1/2)(x+1/2)

Step-by-step explanation:

x^4+x^2+1

x^2+x+1

x^2 + 1/2x + 1/2x + 1

= (x+1/2)(x+1/2)

Answer 2

Answer:

Step-by-step explanation:

x^4 + x^2 + 1

_ _ _ _ ( expand this polynomial )

x^4 + x^2 + 1 = x^4 + x^3 + x^2 − x^3 − x^2 − x + x^2 + x + 1

=> x^2 ( x^2 + x + 1 ) − x ( x^2 + x + 1 ) + ( x^2 + x + 1 )

=> ( x^2 + x + 1 ) ( x^2 − x + 1 )