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

Answer: 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