Factorise 2x square -3x - 1- - Maths Q - A

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Standard IX

Mathematics

Introduction to Factorization

Factorise 2x ...

Question

Factorise: $2 x^{2} - 3 x + 1$

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Solution

Factorization
The given expression is,
$2 x^{2} - 3 x + 1 = 2 x^{2} - 2 x - x + 1$
$= 2 x (x - 1) - 1 (x - 1)$
$= (2 x - 1) (x - 1)$
Hence, the result of factorization of the given expression is $(2 x - 1) (x - 1)$ .

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Factorise:
$2 x^{2} - x + \frac{1}{8}$

$3 x^{3} + 2 x^{2} + 3 x + 2$ =?

(a) $(3 x - 2) (x^{2} - 1)$

(b) $(3 x - 2) (x^{2} + 1)$

(d) $(3 x + 2) (x^{2} + 1)$

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Factorise: 2x2-3x+1

FactorizationThe given expression is,2x2-3x+1=2x2–2x–x+1 =2x(x–1)-1(x–1) =(2x–1)(x–1)Hence, the result of factorization of the given expression is (2x–1)(x–1).

Factorise: $2 x^{2} - 3 x + 1$

Factorization
The given expression is,
$2 x^{2} - 3 x + 1 = 2 x^{2} - 2 x - x + 1$
$= 2 x (x - 1) - 1 (x - 1)$
$= (2 x - 1) (x - 1)$
Hence, the result of factorization of the given expression is $(2 x - 1) (x - 1)$ .