Math, asked by freshbeats0211, 6 months ago

factories = 1+301n-21660​

Answers

Answered by sourabhyadavaps
2

Answer:

it is wrong it should we. like n^2+301n-21660=0

Step-by-step explanation:

if it like this than answer will be:-

Factoring n2+301n-21660

The first term is, n2 its coefficient is 1 .

The middle term is, +301n its coefficient is 301 .

The last term, "the constant", is -21660

Step-1 : Multiply the coefficient of the first term by the constant 1 • -21660 = -21660

Step-2 : Find two factors of -21660 whose sum equals the coefficient of the middle term, which is 301 .

-21660 + 1 = -21659

-10830 + 2 = -10828

-7220 + 3 = -7217

-5415 + 4 = -5411

-4332 + 5 = -4327

-3610 + 6 = -3604

-2166 + 10 = -2156

-1805 + 12 = -1793

-1444 + 15 = -1429

-1140 + 19 = -1121

-1083 + 20 = -1063

-722 + 30 = -692

-570 + 38 = -532

-380 + 57 = -323

-361 + 60 = -301

-285 + 76 = -209

-228 + 95 = -133

-190 + 114 = -76

-114 + 190 = 76

-95 + 228 = 133

-76 + 285 = 209

-60 + 361 = 301 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -60 and 361

n2 - 60n + 361n - 21660

Step-4 : Add up the first 2 terms, pulling out like factors :

n • (n-60)

Add up the last 2 terms, pulling out common factors :

361 • (n-60)

Step-5 : Add up the four terms of step 4 :

(n+361) • (n-60)

Which is the desired factorization

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