SOLUTION: Im not sure if this is available through this website, but if you can, can you please help me? i have a test tomorrow. Given the polynomial function: f(x)={{{ 4x^2-4x+1 }}}

Question 369495: Im not sure if this is available through this website, but if you can, can you please help me? i have a test tomorrow.
Given the polynomial function: f(x)=
Find the zeroes of f(x) algebraically.
Write f(x) as a product of its linear factors.
Even if you can't answer thankyou for reading this. Have a nice day
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
f(x)=

(2x-1)*(2x-1) = 0
2x = 1
x = 1/2 is the answer, multiplicity 2
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There are 2 answers, both of them are x = 1/2
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 0.5, 0.5. Here's your graph:

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Ignore the comments about 1 solution. There's one value for the 2 solutions.

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