Question

Factorise the following
x²-3x+2​

Answer 1

Answer:

(x-1)(x-2)

Step-by-step explanation:

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Answer 2

Answer:

(x−2)(x−1)

Step-by-step explanation:

Given x2−3x+2=0

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0   (Equating each factor to zero)

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0   (Equating each factor to zero)∴x=2 or x=1

Given x2−3x+2=0x2−2x−1x+2=0 (Resolving the expression)x(x−2)−1(x−2)=0 (Taking common factors)(x−2)(x−1)=0 (Taking common factors)∴x−2=0 or x−1=0   (Equating each factor to zero)∴x=2 or x=1∴2 and 1 are the roots of x2−3x+2=0

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