Problem 49 of 7
Factor perfect-square trinomial 9x^2-6x+1 and identify its repeated zero.
Hints
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recognize double root structure.
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Quadratic must be a perfect-square trinomial.
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Solution
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1. Recognize the first and last terms as squares.
2. Check the middle term as plus or minus twice the product.
3. Set the repeated factor equal to zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Listing two different zeros for a double-root quadratic.