factorize - x^2-39x-216
Answers
Answer:
x2-39x-216
Final result :
x2 - 39x - 216
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-39x-216
The first term is, x2 its coefficient is 1 .
The middle term is, -39x its coefficient is -39 .
The last term, "the constant", is -216
Step-1 : Multiply the coefficient of the first term by the constant 1 • -216 = -216
Step-2 : Find two factors of -216 whose sum equals the coefficient of the middle term, which is -39 .
-216 + 1 = -215 -108 + 2 = -106 -72 + 3 = -69 -54 + 4 = -50 -36 + 6 = -30 -27 + 8 = -19 -24 + 9 = -15 -18 + 12 = -6 -12 + 18 = 6 -9 + 24 = 15 -8 + 27 = 19 -6 + 36 = 30 -4 + 54 = 50 -3 + 72 = 69 -2 + 108 = 106 -1 + 216 = 215
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x2 - 39x - 216