IM Alg2.2.7 Lesson: Using Factors and Zeros

M and K are both polynomial functions of x where
[math]M(x)=(x+3)(2x-5)[/math] and [math]K(x)=3(x+3)(2x-5)[/math].[br]How are the two functions alike? 
How are they different?
If a graphing window of [math]-5\le x\le5[/math] and [math]-20\le y\le20[/math] shows all intercepts of a graph of [math]y=M(x)[/math], what graphing window would show all intercepts of [math]y=K(x)[/math]?[br]
Mai graphs the function given by
[math]p(x)=(x+1)(x-2)(x+15)[/math][size=150] and sees this graph.[/size][br][img]data:image/png;base64,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[/img][br]She says, “This graph looks like a parabola, so it must be a quadratic.”[br]Is Mai correct? Use graphing technology to check.[br]
Explain how you could select a viewing window before graphing an expression like [math]p(x)[/math] that would show the main features of a graph.
Using your explanation, what viewing window would you choose for graphing [math]f(x)=(x+1)(x-1)(x-2)(x-28)[/math]?[br]
Select some different windows for graphing the function [math]q(x)=23(x-53)(x-18)(x+111)[/math]. [br]What is challenging about graphing this function?
Check your equation using graphing technology.
Write a possible equation for a polynomial whose graph has the following horizontal intercepts.
[math](4,0)[/math]
[math](0,0)[/math] and [math](0,4)[/math]
[math](\text{-}2,0)[/math], [math](0,0)[/math] and [math](4,0)[/math]
[math](\text{-}4,0)[/math], [math](0,0)[/math] and [math](2,0)[/math]
[math](\text{-}5,0)[/math], [math](\frac{1}{2},0)[/math] and [math](3,0)[/math]

IM Alg2.2.7 Practice: Using Factors and Zeros

Diego wrote [math]f(x)=(x+2)(x-4)[/math] as an example of a function whose graph has [math]x[/math]-intercepts at [math]x=-4.2[/math]. What was his mistake?
Write a possible equation for a polynomial whose graph has horizontal intercepts at [math]x=2,-\frac{1}{2},-3.[/math]
Which polynomial function’s graph is shown here?
[img]data:image/png;base64,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[/img]
[size=150]Which expression is equivalent to [math](3x+2)(3x-5)[/math]?[/size]
[size=150]What is the value of [math]6(x-2)(x-3)+4(x-2)(x-5)[/math] when[math]x=-3[/math]?[/size]
Match each polynomial function with its leading coefficient.

Information