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2. $x^2$ $\\square$ $16x$ $\\square$ $17$ and $(x - 1)(x + 17)$

Question

  1. $x^2$ $\square$ $16x$ $\square$ $17$ and $(x - 1)(x + 17)$

Explanation:

Step1: Expand the factored form

First, we expand \((x - 1)(x + 17)\) using the distributive property (FOIL method).

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Step2: Compare with the given expression

Now we compare \(x^{2}+16x - 17\) with \(x^{2}\square16x\square17\). So the first square should be filled with \(+\) (plus sign) and the second square should be filled with \(-\) (minus sign).

Answer:

The first box is \(+\) and the second box is \(-\), so the expression is \(x^{2}+16x - 17\)