Find the answer by factorisation

1.	Find the answer by factorisation
Answer» Solution :- We need to factorise , 2x² - 5X + 3 = 0 By splitting the middle TERM ⇒ 2x² - 2x - 3x + 3 = 0 Taking common , ⇒ 2x [ x - 1 ] - 3 [ x - 1 ] = 0 Taking common again ⇒ [ x - 1 ] [ 2x - 3 ] = 0 Hence , factorised ! More INFORMATION :- Quadratic polynomial : x² + ( sum of roots )x - product of roots Roots of quadratic equation : x = - b ±√b² - 4ac/2a Sum of roots : - coefficient of x/coefficient of x² Product of roots: constant term/coefficient of x²

Answer»

Solution :-

We need to factorise ,

2x² - 5X + 3 = 0

By splitting the middle TERM

⇒ 2x² - 2x - 3x + 3 = 0

Taking common ,

⇒ 2x [ x - 1 ] - 3 [ x - 1 ] = 0

Taking common again

⇒ [ x - 1 ] [ 2x - 3 ] = 0

Hence , factorised !

More INFORMATION :-

Quadratic polynomial : x² + ( sum of roots )x - product of roots
Roots of quadratic equation : x = - b ±√b² - 4ac/2a
Sum of roots : - coefficient of x/coefficient of x²
Product of roots: constant term/coefficient of x²

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Find the answer by factorisation ​