Question

7.द्विघात बहुपद(Quadratic polynomial) x^2-5x +6 के गुणनखंड (factors)पेपर
कटिंग व पेस्टिंग विधि द्वारा ज्ञात कीजिये एवं सभी पदों को स्वच्छता से लिखिए।​

Answer 1

$\textbf{Given:}$

$\text{Quadratic polynomial is x^2-5x+6 }$

$\textbf{To find:}$

$\text{Factors of x^2-5x+6 }$

$\textbf{Solution:}$

$\text{We factorize the given polynomial by spliting the middle term}$

$\text{Consider,}$

$x^2-5x+6$

$=x^2-2x-3x+6$

$=x(x-2)-3(x-2)$

$=(x-2)(x-3)$

$\textbf{Answer:}$

$\textbf{Factors of x^2-5x+6 are \bf(x-2) and \bf(x-3) }$

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