4x² - 4x (2-4x) +(2-4) 2 - 1
Answers
Answer:
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
STEP
1
:
Equation at the end of step 1
(22x2 - 4x) + 2 = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
4x2 - 4x + 2 = 2 • (2x2 - 2x + 1)
Trying to factor by splitting the middle term
3.2 Factoring 2x2 - 2x + 1
The first term is, 2x2 its coefficient is 2 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2
Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -2 .
-2 + -1 = -3
-1 + -2 = -3
1 + 2 = 3
2 + 1 = 3
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored