Answer:
x • (x^2 + x + 1)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((3•(x^3))+(4•(x^2)))-(((2•(x^3))+3x^2)-x)
Step 2 :
Equation at the end of step 2 :
((3•(x^3))+(4•(x^2)))-((2x^3+3x^2)-x)
Step 3 :
Equation at the end of step 3 :
((3 • (x^3)) + 22x^2) - (2x^3 + 3x^2 - x)
Step 4 :
Equation at the end of step 4 :
(3x^3 + 22x^2) - (2x^3 + 3x^2 - x)
Step 5 :
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
x^3 + x^2 + x = x • (x^2 + x + 1)
Trying to factor by splitting the middle term
6.2 Factoring x^2 + x + 1
The first term is, x^2 its coefficient is 1 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 1 • 1 = 1
Step-2 : Find two factors of 1 whose sum equals the coefficient of the middle term, which is 1 .
-1 + -1 = -2
1 + 1 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
x • (x^2 + x + 1)
