Question

factorise the following algebraic expression 1) x^2+7x+12​

Answer 1

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Answer:

x²+7x+12=0

x²+3x+4x+12=0

x(x+3)+4(x+3)=0

(x+4)(x+3)=0

=>(x+4)(x+3)

Answer 2

Answer:

Factorize x² + 7x 12

             = ( x +3) ( x + 4)

Step-by-step explanation:

Factorize x² + 7x 12

We can use the product sum method to factorize this equation:

In an equation ax² + bx + c

To factorize the equation ax² + bx + c we look for two numbers such that their product is ac and sum is b

To factorize x² + 7x 12

We look for two numbers such that thier product is 1 × 12 = 12, and their sum is 7

These numbers are 3 and 4

3 × 4 = 12

3 + 4 = 7

The next step is to split the middle term 7x, using the two numbers 4 and 3

x² + 7x 12  

= x² + 4x + 3x + 12

= x( x + 4) + 3( x + 4)

= ( x + 3) ( x + 4)

Therefore x² + 7x 12 = ( x + 3) ( x + 4)