Question

20. Simplify: x2 + 11x + 18 decided by (x +2)
A. x + 3
B. X - 3
C. X-9
D. X + 9​

Answer 1

Answer:

13+18+2=33 a is a answer

Answer 2

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   11 .

     -18    +    -1    =    -19

     -9    +    -2    =    -11

     -6    +    -3    =    -9

     -3    +    -6    =    -9

     -2    +    -9    =    -11

     -1    +    -18    =    -19

     1    +    18    =    19

     2    +    9    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  9

                    x2 + 2x + 9x + 18

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

                   x • (x+2)

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

                   9 • (x+2)

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

                   (x+9)  •  (x+2)

            Which is the desired factorization