Questions: v^2-2v+1

Transcript text: \[ v^{2}-2 v+1 \]

Solution

Step 1: Identify the type of polynomial

Given polynomial is quadratic with form \(av^2 + bv + c\).

Step 2: Calculate the roots

Using the quadratic formula, the roots are calculated as \(v = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\).

Step 3: Substitute the values \(a=1\), \(b=-2\), and \(c=1\)

Roots are \(v_1 = 1\) and \(v_2 = 1\).

The factored form of the polynomial is \((v - 1)(v - 1)\).

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