Question

100 points
Factorise with full explanation.


${x}^{2} + 3x + 2$
​

Answer 1

Answer:

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Answer 2

Answer:

x^2+3x+2

x^2+2x+x+2

x(x+2)+1(x+2)

(x+2)(x+1)

Step-by-step explanation:

1. suppose a =coffiecient of x^2 ,b=is coffiecient of x and c is the cinstant
2. multiply a and b

then take lCM of product and make it like that equal to the cofficient of x .

• note

it must be multiple of each other result must become equal to product

(multiplication,addition ,substrection ,division ,let's take an example

from above

a*b=2

then take its LCM

2=2*1

we see that coffiecient of x is 3

when we add 2x+x then we get 3

now

we also get 2*1=2(written in note part which is full fill)

3)now write at the place of middle term which we got from above 2nd instruction

that is

x^2+2x+x+2

4) take common which you get

x(x+2)+1(x+2)

5)the result is

(x+2 )(x+1)

hope it helps you ...