Pergunta
Question 2/Multiple Choice Worth 1 points) (07.03 MC) Given the following perfect square trinomial, find the missing term: x^2-16x+underline ( ) 8 16 32 64
Solução
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SauloElite · Tutor por 8 anos
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The missing term in the trinomial is 64.
Explicação
## Step 1<br />A perfect square trinomial is a trinomial that can be factored into the square of a binomial. In this case, we are given the trinomial \(x^{2}-16x+\underline {\quad }\), and we need to find the missing term that makes it a perfect square trinomial.<br /><br />## Step 2<br />The general form of a perfect square trinomial is \(a^{2} - 2ab + b^{2}\), which can be factored into \((a - b)^{2}\).<br /><br />## Step 3<br />In our given trinomial, \(a\) is \(x\) and \(b\) is \(8\), because \(2ab = 2*x*8 = 16x\).<br /><br />## Step 4<br />The missing term in the trinomial is \(b^{2}\), which is \(8^{2} = 64\).
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