A: [math]y=\left(x+4\right)\left(x-6\right)[/math][br]B: [math]y=2x^2-8x-24[/math][br]C: [math]y=x^2+5x-25[/math][br]D: [math]y=x^3+3x^2-10x-24[/math]
[size=150]Earlier, we learned we can make a box from a piece of paper by cutting squares of side length [math]x[/math] from each corner and then folding up the sides. Let’s say we now have a piece of paper that is 8.5 inches by 14 inches. The volume [math]V[/math], in cubic inches, of the box is a function of the side length [math]x[/math] where [math]V\left(x\right)=\left(14-2x\right)\left(8.5-2x\right)\left(x\right)[/math].[br][/size][br]Identify the degree and leading term of the polynomial. Explain or show your reasoning.
Without graphing, what can you say about the horizontal and vertical intercepts of the graph of [math]V[/math]? [br]
Do these points make sense in this situation?
[math]\left(x+2\right)\left(x+4\right)[/math] and [math]x^2+6x+8[/math]
[math]\left(x+6\right)\left(x+-5\right)[/math] and [math]x^2+x-30[/math]
[math]\left(x^2+10x+7\right)\left(2x-1\right)[/math] and [math]2x^3+19x^2+4x-7[/math]
[math]\left(4x^3-8\right)\left(x^2+3\right)[/math] and [math]4x^5+12x^3-8x^2-24[/math]
Write a pair of expressions that each have 2 or 3 terms, and trade them with your partner. Multiply the expressions they gave you.[br]
[center][/center][size=150]Let [math]f\left(x\right)=\left(x-2\right)\left(x+3\right)\left(x-7\right)[/math] and[math]g\left(x\right)=\frac{1}{2}\left(x-2\right)\left(x+3\right)\left(x-7\right)[/math][/size][br][br]Use the applet below to explore both functions in the same window of [math]-10\le x\le10[/math] and [math]-100\le y\le100[/math]. [br]Describe how the two graphs are the same and how they are different.[br]
What degree do these polynomials have? Rewrite each expression in standard form to check.[br]
Let [math]h\left(x\right)=\left(3x-6\right)\left(x+3\right)\left(x-7\right)[/math]. What do you think the graph of [math]y=h\left(x\right)[/math] will look like compared to [math]y=f\left(x\right)[/math]? [br]Use the applet above to check your prediction.[br]
[size=150]Here are the graphs of two polynomial functions, [math]f[/math] and [math]g[/math]. We know that [math]g\left(x\right)=k\cdot f\left(x\right)[/math].[/size][br][img]data:image/png;base64,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[/img][br]Why do the two graphs have different vertical intercepts but the same horizontal intercepts?
What is the value of [math]k[/math]?[br]