1.

4x² - 4x (2-4x) +(2-4) 2 - 1​

Answer»

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


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