CAN ANY ONE HELP ME PLEASE I HAVE ONE QUESTION!!!! Create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full credit.
Mathematics · High School · Tue Nov 03 2020
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Step 1: Identify the pattern of a perfect square trinomial. A perfect square trinomial has the form (a^2 ± 2ab + b^2), which can be factored into (a ± b)^2.
Step 2: Choose values for a and b. Let's pick a = 3 and b = 2 for this example.
Step 3: Apply the values to create the perfect square trinomial using the pattern. With a = 3 and b = 2, we get: (3^2 + 2(3)(2) + 2^2) which simplifies to: 9 + 12 + 4
Step 4: Combine the terms to create the perfect square trinomial: The trinomial is 9 + 12 + 4, which simplifies to 25.
Step 5: Factor the trinomial using the square of a binomial pattern: The trinomial 25 can be written as (3 + 2)^2 or (5)^2.
Therefore, the perfect square trinomial we have created is 25, which factors to (5)^2.