Follow the method in Step 1 to determine if the fourth expression is a perfect...
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Follow the method in Step 1 to determine if the fourth expression is a perfect square trinomial. The first term and the third term of the fourth trinomial, 4x^2 + 12x + 9, are perfect squares. 4x = (2x) 9 = (3) Because the x-term is positive, if the trinomial is a perfect square, then it is the square of a binomial sum. Find the square of the binomial formed by the sum of the square roots of the perfect squares, (2x + 3). You can use the distributive property to square the binomial. Or you can use the rule for squaring a binomial sum, (a + b) = a + 2ab + b, with a = 2x and b = 3. Compare the original trinomial to the square of the binomial.
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