Question

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(x^2+9x+18)÷(x+3)

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   -9 .

     -18    +    -1    =    -19  

     -9    +    -2    =    -11  

     -6    +    -3    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  -3  

                    x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-6)

            Which is the desired factorization

Step-by-step explanation:

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