Question

factorize
. z²-3z+2 ​

Answer 1

Answer:

z²-3z+2= (z - 2) (z -1 ) ​

Step-by-step explanation:

Factorize:  z²-3z+2 ​

Find factors of 2 whose multiplication is 2 and sum is -3

So, two factors are -2, -1

Put -2z and-1z in place of -3z

z²-3z+2 ​=  z²-2z - z+2

= z ( z - 2) - 1(z - 2)

= (z - 2) (z -1 ) ​

So,  z²-3z+2 = (z - 2) (z -1 ) ​

Answer 2

Answer:

On factorizing $z^{2}-3z + 2$ we get factors $( z- 2 ) ( z -1 )$ and value of $z$ will be  $z = 2$ or $z = 1$ .

Step-by-step explanation:

To factorize : $z^{2}-3z + 2$

Solution :

• According to question we are asked to factorize the given expression .
• To factorize expression we spilt middle term .  
• We spilt the middle term such that product of the numbers is last term and sum or difference of those numbers is middle term.
• Here, $-3z$ is the middle term and $2$ is the last term.

       $z^{2}-3z + 2\\\\=z^{2}-2z -z + 2 \\\\= z ( z -2 ) -1(z -2 )\\\\= ( z -2 )( z -1 )$

• Hence , value of $z$ will be $z = 2$ or $z = 1$ .