Question

factorise X square + X + 1 by 4

Answer 1

The answer is :-

${(x + \frac{1}{2}) }^{2} \\ \\ = (x + \dfrac{1}{2} )(x + \dfrac{1}{2} )$


Please refer the above photograph for the used process.



KEY POINTS TO REMEMBER :


☸️ Some Algebraic identities.
The above question uses the algebraic identity of :-
${(x + y)}^{2}$

The identity can be expanded as follows :-

${x}^{2} + 2xy + {y}^{2}$


So,

Using this identity, we can easily solve the question.



Thanks!