IM Alg2.2.13 Practice: Polynomial Division (Part 2)

[size=150]The polynomial function [math]B(x)=x^3-21x+20[/math] has a known factor of [math](x-4)[/math].[br][/size]Rewrite [math]B(x)[/math] as a product of linear factors.
[size=150]Let the function [math]P[/math] be defined by [math]P(x)=x^3+7x^2-26x-72[/math] where  is a factor [math](x+9)[/math].   [br]To rewrite the function as the product of two factors, long division was used but an error was made:[br][img]data:image/png;base64,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[/img][br][/size]How can we tell by looking at the remainder that an error was made somewhere?
[size=150]For the polynomial function [math]A(x)=x^4-2x^3-21x^2+22x+40[/math] we know [math](x-5)[/math] is a factor. [/size][br]Select [b]all[/b] the other linear factors of A(x).
Match the polynomial function with its constant term.
What are the solutions to the equation [math](x-2)(x-4)=8[/math]?
The graph of a polynomial function f is shown.
[img]data:image/png;base64,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[/img][br]Which statement is true about the end behavior of the polynomial function?
[size=150]The polynomial function [math]p(x)=x^3+3x^2-6x-8[/math] has a known factor of [math](x+4)[/math].[/size][size=150][br][/size][br]Rewrite [math]p(x)[/math] as the product of linear factors.[br]
Draw a rough sketch of the graph of the function.
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Information: IM Alg2.2.13 Practice: Polynomial Division (Part 2)