Answer:
Here you go
Step-by-step explanation:
The first term is, 9e2 its coefficient is 9 .
The middle term is, +30e its coefficient is 30 .
The last term, "the constant", is +25
Step-1 : Multiply the coefficient of the first term by the constant 9 • 25 = 225
Step-2 : Find two factors of 225 whose sum equals the coefficient of the middle term, which is 30 .
15 + 15 = 30 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 15 and 15
9e2 + 15e + 15e + 25
Step-4 : Add up the first 2 terms, pulling out like factors :
3e • (3e+5)
Add up the last 2 terms, pulling out common factors :
5 • (3e+5)
Step-5 : Add up the four terms of step 4 :
(3e+5) • (3e+5)
Which is the desired factorization
