(n²-n) (n²+5n+6)=120
Answers
Step-by-step explanation:
Factoring n2-n-240
The first term is, n2 its coefficient is 1 .
The middle term is, -n its coefficient is -1 .
The last term, "the constant", is -240
Step-1 : Multiply the coefficient of the first term by the constant 1 • -240 = -240
Step-2 : Find two factors of -240 whose sum equals the coefficient of the middle term, which is -1 .
-240 + 1 = -239
-120 + 2 = -118
-80 + 3 = -77
-60 + 4 = -56
-48 + 5 = -43
-40 + 6 = -34
-30 + 8 = -22
-24 + 10 = -14
-20 + 12 = -8
-16 + 15 = -1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and 15
n2 - 16n + 15n - 240
Step-4 : Add up the first 2 terms, pulling out like factors :
n • (n-16)
Add up the last 2 terms, pulling out common factors :
15 • (n-16)
Step-5 : Add up the four terms of step 4 :
(n+15) • (n-16)
Which is the desired factorization
Equation at the end of step
1
:
(n + 15) • (n - 16) = 0
hope it will help you
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