IM Alg2.2.14 Practice: What Do You Know About Polynomials?

We know these things about a polynomial function, f(x): it has exactly one relative maximum and one relative minimum, it has exactly three zeros, and it has a known factor of (x-4). Sketch a graph of f(x) given this information.
Mai graphs f(x) polynomial function.
[math]f(x)[/math] [size=150]has three linear factors [math](x+6),(x+2),[/math] and [math](x-1)[/math]. 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[/img][br]But she makes a mistake. What is her mistake?
Here is the graph of a polynomial function with degree 4.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] of the statements that are true about the function.
[size=150]State the degree and end behavior of [math]f(x)=2x^3-3x^5-x^2+1[/math]. [/size][br]Explain or show your reasoning.
Is this the graph of [math]g(x)=(x-1)^2(x+2)[/math] or [math]h(x)=(x-1)(x+2)^2[/math]? [br][img]data:image/png;base64,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[/img][br]Explain how you know.
[size=150]Kiran thinks he knows one of the linear factors of [math]P(x)=x^3+x^2-17x+15[/math]. [/size][br]After finding that [math]P(3)=0[/math], Kiran suspects that [math]x-3[/math] is a factor of [math]P(x)[/math], so he sets up a diagram to check. [br]Here is the diagram he made to check his reasoning, but he set it up incorrectly. What went wrong?
[size=150]The polynomial function  [math]B(x)=x^3+8x^2+5x-14[/math] has a known factor of [math](x+2)[/math].[br][/size]Rewrite [math]B(x)[/math] as a product of linear factors.
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Information: IM Alg2.2.14 Practice: What Do You Know About Polynomials?