English, asked by manak37, 1 year ago

factorise it with full explanations.
${x}^{2} + 3x + 2$

manak37: wait u will get chance

Anonymous: i am late again!!

Answers

Answered by Jeniyaa

Hęřę įš ùř ąńšwęř....♥♡♥

$= > {x}^{2} + 3x + 2 = 0$

$= > {x}^{2} + 2x + x + 2 = 0$

$= > x(x + 2) + 1(x + 2) = 0$

$= > (x + 1)(x + 2) = 0$

Hence,

x+1=0 or x+2=0

x= -1. or. x= -2

Hope it helps..

Jeniyaa: thats why we splitted 3x into 2x and x

Jeniyaa: we have to split the middle term in such a way that the splitted term when multiplied should be equal to last term

Jeniyaa: e.g- 2 = 2 x 1

Jeniyaa: Hope uh understood..

manak37: yes. ok

manak37: what u did there

Jeniyaa: but uh didnt marked mine answer.

manak37: sorry :(

manak37: answer new question :)

manak37: explain the last two expressions in your answer.

Answered by hinaguptagracy

Answer:

(x+2)(x+1)

x+2=0

x=-2

x+1=0

x=-1

Explanation:

x^2+3x+2

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

x^2+2x+1x+2

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

(x+2)(x+1)

x+2=0

x=-2

x+1=0

x=-1

manak37: can u plzz explain?

hinaguptagracy: Yes

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