Solve the equation √s+1÷s-1=2
Answers
The first term is, 2s2 its coefficient is 2 .
The middle term is, +s its coefficient is 1 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 2 • -1 = -2
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is 1 .
-2 + 1 = -1
-1 + 2 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
2s2 - 1s + 2s - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
s • (2s-1)
Add up the last 2 terms, pulling out common factors :
1 • (2s-1)
Step-5 : Add up the four terms of step 4 :
(s+1) • (2s-1)
Which is the desired factorization