Use the example below to solve the exercises that follow. …
Use the example below to solve the exercises that follow. Example:Determine whether the given polynomial is a perfect square trinomial, then factor it. x2+14x+49{“version”:”1.1″,”math”:”x2+14x+49″} Solution:Determine whether the given polynomial is a perfect square trinomial (Step 1&2), then factor it (Step 3).Step 1: Check if the first and third terms are both perfect squares with positive coefficients: x2 = (x)2{“version”:”1.1″,”math”:”x2 = (x)2″} and 49 = (7)2{“version”:”1.1″,”math”:”49 = (7)2″}Step 2: Identify a{“version”:”1.1″,”math”:”a”} and b{“version”:”1.1″,”math”:”b”} , and determine if the middle term equals 2ab{“version”:”1.1″,”math”:”2ab”} or -2ab{“version”:”1.1″,”math”:”-2ab”} a = x{“version”:”1.1″,”math”:”a = x”} and b = 7{“version”:”1.1″,”math”:”b = 7″} 2ab = 2(x)(7) =14x{“version”:”1.1″,”math”:”2ab = 2(x)(7) =14x”}Step 3:Use the first formula if the middle term is positive, or the second, if the middle term is negative: x2+14x+49=(x+7)2 {“version”:”1.1″,”math”:”x2+14x+49=(x+7)2 ”}Exercise 1:Determine whether the given polynomial is a perfect square trinomial by demonstrating in the box below the steps 1 and 2 from the example . If yes, then factor it. If not, then state so. w2-16w+64{“version”:”1.1″,”math”:”w2-16w+64″} Exercise 2:Determine whether the given polynomial is a perfect square trinomial by demonstrating in the box below the steps 1 and 2 from the example. If yes, then factor it. If not, then state so. z2 +10z+100{“version”:”1.1″,”math”:”z2 +10z+100″} Show all steps using the Graphical Equation Editor.
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