xsquare+ 5x-204=0(ignore negative result)
Answers
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -204
Step-1 : Multiply the coefficient of the first term by the constant 1 • -204 = -204
Step-2 : Find two factors of -204 whose sum equals the coefficient of the middle term, which is -5 .
-204 + 1 = -203
-102 + 2 = -100
-68 + 3 = -65
-51 + 4 = -47
-34 + 6 = -28
-17 + 12 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -17 and 12
x2 - 17x + 12x - 204
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-17)
Add up the last 2 terms, pulling out common factors :
12 • (x-17)
Step-5 : Add up the four terms of step 4 :
(x+12) • (x-17)
Which is the desired factorization
Equation at the end of step
1
:
(x + 12) • (x - 17) = 0
STEP
2
:
Theory - Roots of a product