Question

here are pairs of equivalent expressions in standard form and factored form. find the missing symbols and numbers.

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

Explanation:

Step1: Expand the factored form

To find the standard form, we expand \((x + 1)(x - 17)\). Using the distributive property (FOIL method):

$$
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$$

Step2: Compare with the given standard form

The given standard form is \(x^{2}\square16x\square17\). By comparing with the expanded form \(x^{2}-16x - 17\), we can see that the first missing symbol is \(-\) (between \(x^{2}\) and \(16x\)) and the second missing symbol is \(-\) (between \(16x\) and \(17\)).

Answer:

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