[math]G(x)[/math] is a polynomial. Here are some things we know about it:[br][list][*]It has degree 3.[/*][*]Both [math]x[/math] and [math](x+4)[/math] are factors of [math]G[/math].[/*][*]It has 2 horizontal intercepts, but only 1 is negative.[/*][*]Its leading coefficient is negative.[/*][/list][br]What else do we know is true about [math]G(x)[/math]?

[table][tr][td]If your teacher gives you the data card:[br][br][list=1][*]Silently read the information [br]on your card.[/*][*]Ask your partner, “What specific [br]information do you need?” and wait [br]for your partner to ask for information. Only give information that is on your card. (Do not figure out anything for your partner!)[/*][*]Before telling your partner the information, ask, “Why do you need to[br] know (that piece of information)?”[/*][*]Read the problem card, and solve the problem independently.[/*][*]Share the data card, and discuss your[br]reasoning.[/*][/list][/td][td]If your teacher gives you the problem card:[br][br][list=1][*]Silently read your card and think about what information you need to[br]answer the question.[/*][*]Ask your partner for the specific information that you need.[/*][*]Explain to your partner how you are using the information to solve the[br]problem.[/*][*]When you have enough information, share the problem card with your partner, and solve the problem independently.[/*][*]Read the data card, and discuss your reasoning.[/*][/list][/td][/tr][/table][br][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.

[list][*]write a polynomial of degree 3 or 4 in factored form[/*][*]sketch the graph of your polynomial[/*][*]rewrite its expression in standard form[/*][/list]

[size=150]Write the standard form of your polynomial along with 1 of the factors (or 2 factors, if the polynomial has degree 4). Trade with your partner.[/size][br]

[list][*]rewrite their polynomial in factored form[/*][*]sketch a graph of their polynomial showing all horizontal intercepts[/*][/list]

[size=150]Once you and your partner have finished graphing, check your factored form and graph with your partner and discuss any differences.[br][/size]