Question

Factories :-$:\implies\bf{x^{2} +5x + 6}$​

Answer 1

Answer:

x ² −5x+6

=x² −3x−2x+6

=x(x−3)−2(x−3)

=(x−2)(x−3)

factors are (x−3),(x−2)

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Answer 2

$\: \: \: \: \:{\large{\pmb{\sf{\underline{ Here's \: your \: required \: solution!! }}}}}$

• Here, we are asked to factories

$\sf \green {:\implies{x^{2} +5x + 6}}$

• We need to multiple the coefficient of x² with the constant.And then according to the question if we use Split Middle term Method then the middle term of the given expression will need to be split in such a way that their sum is equal to the middle term and their product is equal to the product of coefficient of x² and constant term.After that, taking common between two term and making pair, we will get our required answer.

Here, we are given :-

• Coefficient, of x² = 1
• Constant term = 6

Then the L.MC will be "6".

$\sf \purple {:\implies{x^{2} +5x + 6}}$

$:\implies\sf{x^{2} + (3+2)x + 6}$

$:\implies\sf{x^{2} +3x+2x+ 6}$

Taking common :

$:\implies\sf{x (x+3)+2(x+3)}$

$\sf \purple { :\implies{(x+3)(x+2)}}$

• Hence, (x+3) (x+2) are the two factors of the given polynomial.