[table][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][table][tr][td]A. [math]330=33(10)+0[/math][/td][td]B. [math]330=4(82)+2[/math][/td][td]C. [math]330=5(66)+0[/math][/td][/tr][/table]

Consider the polynomial function [math]f(x)=x^4-ux^3+24x^2-32x+16[/math][size=150] where [math]u[/math] is an unknown real number.[/size] [br]If [math]x-2[/math] is a factor, what is the value of[math]u[/math]? Explain how you know.

[size=150]Here are some diagrams that show the same third-degree polynomial, [math]P(x)=2x^3+5x^2+x+10[/math], divided by a linear factor and by a quadratic factor.[/size][size=150][br][table][tr][td][math]\frac{P(x)}{x+3}[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][tr][td][math]\frac{P(x)}{x^2-x}[/math][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][/size]What is the remainder of each of these divisions?

For each division, how does the degree of the remainder compare to the degree of the divisor?[br]

Could the remainder ever have the same degree as the divisor, or a higher degree? Give an example to show that this is possible, or explain why it is not possible.[br]

[size=150]Which of these polynomials could have [math](x-2)[/math] as a factor?[/size]

[size=150]Select one of the polynomials that you said doesn’t have [math](x-2)[/math] as a factor.[/size][br][br]Explain how you know [math](x-2)[/math] is not a factor.[br]

If you have not already done so, divide the polynomial by [math](x-2)[/math]. What is the remainder?[br]

List the remainders for each of the polynomials when divided by [math](x-2)[/math]. How do these values compare to the value of the functions at [math]x=2[/math]?[br]