n^2 - 25n + 50 . do mid term split please.
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Step-by-step explanation:
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring n2-41n+400
The first term is, n2 its coefficient is 1 .
The middle term is, -41n its coefficient is -41 .
The last term, "the constant", is +400
Step-1 : Multiply the coefficient of the first term by the constant 1 • 400 = 400
Step-2 : Find two factors of 400 whose sum equals the coefficient of the middle term, which is -41 .
-400 + -1 = -401
-200 + -2 = -202
-100 + -4 = -104
-80 + -5 = -85
-50 + -8 = -58
-40 + -10 = -50
-25 + -16 = -41 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -25 and -16
n2 - 25n - 16n - 400
Step-4 : Add up the first 2 terms, pulling out like factors :
n • (n-25)
Add up the last 2 terms, pulling out common factors :
16 • (n-25)
Step-5 : Add up the four terms of step 4 :
(n-16) • (n-25)
Which is the desired factorization
Equation at the end of step
1
:
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