Question

Factorise:- 2a^2 − 5a + 2​

Answer 1

Step-by-step explanation:

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Answer 2

❥ Concept used :-

Splitting of middle terms :-

• In order to factorize  x² + bx + c we have to find numbers p and q such that p + q = b and pq = c.

• After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping the terms.

 

$\large\underline\purple{\bold{Solution :- }}$

$\rm :\implies\:Factorize : \: {2a}^{2} - 5a + 2$

$\rm :\implies\: {2a}^{2} - 4a - a + 2$

$\rm :\implies\:2a(a - 2) - 1(a - 2)$

$\rm :\implies\:(a - 2)(2a - 1)$