Question

4z^2 - 2z + 1/4
factorize

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(22z2 - 2z) - 1 = 0

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 4z2-2z-1

The first term is, 4z2 its coefficient is 4 .

The middle term is, -2z its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 4 • -1 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -2 .

-4 + 1 = -3

-2 + 2 = 0

-1 + 4 = 3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored