IM Alg2.2.23 Practice: Polynomial Identities (Part 1)

Select [b]all[/b] the identities:​​​​
Is [math]2(x+1)^2=(2x+2)^2[/math] an identity? Explain or show your reasoning.
Mai is solving the rational equation [math]5=\frac{2+7x}{x}[/math] for [math]x[/math]. What move do you think Mai would make first to solve for [math]x[/math]? Explain your reasoning.
For [math]x[/math]-values of 0 and -2, [math](x^5+32)=(x+2)^5[/math]. Does this mean the equation is an identity? Explain your reasoning.
[size=150]Clare finds an expression for [math]S(r)[/math] that gives the surface area in square inches of any cylindrical can with a specific fixed volume, in terms of its radius r in centimeters. This is the graph Clare gets if she allows [math]r[/math] to take on any value between -1.2 and 3.[/size][br][img]data:image/png;base64,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[/img][br]What would be a more appropriate domain for Clare to use instead?[br]
What is the approximate minimum surface area for her can?[br]
[size=150]Which values of x make [math]\frac{3x+1}{x}=\frac{1}{x-3}[/math] true?[/size]
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Information: IM Alg2.2.23 Practice: Polynomial Identities (Part 1)