Factorize 8 x^6 + 17 x^3 + 27
Answers
Answer:
not possible
please check explanation also
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Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((8 • (x6)) - 17x3) - 27
STEP
2
:
Equation at the end of step
2
:
(23x6 - 17x3) - 27
STEP
3
:
Trying to factor by splitting the middle term
3.1 Factoring 8x6-17x3-27
The first term is, 8x6 its coefficient is 8 .
The middle term is, -17x3 its coefficient is -17 .
The last term, "the constant", is -27
Step-1 : Multiply the coefficient of the first term by the constant 8 • -27 = -216
Step-2 : Find two factors of -216 whose sum equals the coefficient of the middle term, which is -17 .
-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
Answer:
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