The factorisation x^ 2 +x+1 4 is - Vidyadip

MCQ

The factorisation $x^{2}+x+\frac{1}{4}$ is

A
$\left(\frac{x}{2}-1\right)^{2}$
B
$\left(\frac{x}{2}+1\right)^{2}$
✓
$\left(x+\frac{1}{2}\right)^{2}$
D
$\left(x-\frac{1}{2}\right)^{2}$

✓

Answer

Correct option: C.

$\left(x+\frac{1}{2}\right)^{2}$

c
$x^{2}+x+\frac{1}{4}=x^{2}+2(x)\left(\frac{1}{2}\right)+\left(\frac{1}{2}\right)^{2}$
$=\left(x+\frac{1}{2}\right)^{2}$

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