x^2-2x+48 solve by splitting method
Answers
Answer:
Step-by-step explanation:
Factoring x2-2x-48
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -48
Step-1 : Multiply the coefficient of the first term by the constant 1 • -48 = -48
Step-2 : Find two factors of -48 whose sum equals the coefficient of the middle term, which is -2 .
-48 + 1 = -47
-24 + 2 = -22
-16 + 3 = -13
-12 + 4 = -8
-8 + 6 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 6
x2 - 8x + 6x - 48
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-8)
Add up the last 2 terms, pulling out common factors :
6 • (x-8)
Step-5 : Add up the four terms of step 4 :
(x+6) • (x-8)
Which is the desired factorization
Answer:
see above my dear friend
Step-by-step explanation: