P^2 +8p + 7=0 solve and check solution

 Factoring  p2+8p+7

The first term is,  p2  its coefficient is  1 .

The middle term is,  +8p  its coefficient is  8 .

The last term, "the constant", is  +7

Step-1 : Multiply the coefficient of the first term by the constant   1 • 7 = 7

Step-2 : Find two factors of  7  whose sum equals the coefficient of the middle term, which is   8 .

     -7     +    -1     =    -8  

     -1     +    -7     =    -8  

     1     +    7     =    8     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  7

                    p2 + 1p + 7p + 7

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

                   p • (p+1)

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

                   7 • (p+1)

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

                   (p+7)  •  (p+1)

            Which is the desired factorization

Equation at the end of step  1  :

 (p + 7) • (p + 1)  = 0

Step-by-step explanation:

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step-by-step explanation: