Question

x^2-3x+2
Solve by splitting method

Answer 1

Answer:

x^2 - 2x - X + 2

X(X - 2)-1(X -2)

(X -1)(X -2)

Answer 2

In order to factories an algebraic expressions we have two methods and the question is related to Splitting the middle term method !! Factorisation :

$\implies \tt{ {x}^{2} - 3x + 2} \\ \implies \tt{ {x}^{2} - 2x - 1x + 2} \\ \implies \tt{x(x - 2) - 1(x - 2)} \\ \implies \tt{(x - 2)(x - 1)}$

Additional Information :

• Basic format of a quadratic polynomial is ax² + bx+ c
• In order to factorise x² + bx + c we have to find numbers p and q which are factors of c and even p + q = b or p - q = b
• After finding p and q we just split the middle term as px and qx and find the required the terms needed !!