Factorise x^2-19x-92
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Answer:
Factoring x2-19x-92
The first term is, x2 its coefficient is 1 .
The middle term is, -19x its coefficient is -19 .
The last term, "the constant", is -92
Step-1 : Multiply the coefficient of the first term by the constant 1 • -92 = -92
Step-2 : Find two factors of -92 whose sum equals the coefficient of the middle term, which is -19 .
-92 + 1 = -91
-46 + 2 = -44
-23 + 4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -23 and 4
x2 - 23x + 4x - 92
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-23)
Add up the last 2 terms, pulling out common factors :
4 • (x-23)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-23)
Which is the desired factorization
Step-by-step explanation:
Answer:
Step-by-step explanation: