Question

निम्नलिखित बहुपद का गुणनखंड ज्ञात कीजिए।

${\displaystyle \frac{1}{2}{x}^2-3x+4}$

Answer 1

${\displaystyle \frac{1}{2}{x}^2-3x+4}$

${\displaystyle =\frac{1}{2}{x}^2-\frac{6}{2}x+\frac{8}{2}}$

${\displaystyle =\frac{1}{2}(x^2-6x+8)}$

${\displaystyle =\frac{1}{2}(x^2-4x-2x+8)}$

${\displaystyle =\frac{1}{2}x(x-4)-2(x-4)}$

${\displaystyle =\frac{1}{2}(x-4)(x-2)}$

${\displaystyle =(x-4)(\frac{1}{2}x-1)}$