Answer:  1. (x + 7) • (x + 2)

Step-by-step explanation: 1. Factoring  x2+9x+14  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +9x  its coefficient is  9 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14  

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   9 .

     -14    +    -1    =    -15  

     -7    +    -2    =    -9  

     -2    +    -7    =    -9  

     -1    +    -14    =    -15  

     1    +    14    =    15  

     2    +    7    =    9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  7  

                    x2 + 2x + 7x + 14

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 :

                   7 • (x+2)

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

                   (x+7)  •  (x+2)

            Which is the desired factorization

Final result :

 (x + 7) • (x + 2)

Answer:

1. x=7 and x=2

Step-by-step explanation:

factor the left side of the equation

(x-7)(x-2) = 0

add 7 to both side.

x=7

x-2 = 0

add 2 to both sides

x = 2

check

x = 7^2 - 9(7) + 14 = 0

49 - 63 + 14 = 0

x = 7

2^2 -9(2) + 14 = 0

4 - 18 + 14 = 0

x = 7 and x = 2 is the answer hehe hope it helps^^