Final answer:
To factor the perfect square trinomial x² + 14x + 49, the factored form is (x + 7)².
Step-by-step explanation:
To factor the perfect square trinomial x² + 14x + 49, we need to find two numbers that when multiplied give us 49 and when added give us 14. In this case, the numbers are 7 and 7. So, the factored form is (x + 7)².
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