Question

Factorise the following
x4+x2+1

Answer 1

Answer:

${x}^{4} + {x}^{2} + 1 \\ f(x) = {x}^{4} + {x}^{2} + 1 \\ f(x) = ( {x}^{2} + 1 )^{2} - {x}^{2} \\ f(x) = ( {x}^{2} + 1 - x)( {x}^{2} + 1 + x) \\ f(x) = ( {x}^{2} - x + 1)( {x}^{2} + x + 1) \\ f(x) = ( {x}^{2} + x + 1)( {x}^{2} - x + 1)$

Step-by-step explanation:

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