IM Alg1.7.7 Practice: Rewriting Quadratic Expressions in Factored Form (Part 2)

Find two numbers that...
multiply to -40 and add to -6.[br][br]If you get stuck, try listing all the factors of the first number.
multiply to -40 and add to 6.
multiply to -36 and add to 9.
multiply to -36 and add to -5.
Create a diagram to show that (x-5)(x+8) is equivalent to x²+3x+40.
Write a + or a - sign in each box so the expressions on each side of the equal sign are equivalent.
Match each quadratic expression in standard form with its equivalent expression in factored form.​​​​​​
Rewrite each expression in factored form. If you get stuck, try drawing a diagram in the applet below.
[math]x^2-3x-28[/math]
[math]x^2+3x-28[/math]
 [math]x^2+12x-28[/math]
[math]x^2-28x-60[/math]
[size=150]Which equation has exactly one solution?[/size]
The graph represents the height of a passenger car on a ferris wheel, in feet, as a function of time, in seconds.
[img]data:image/png;base64,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[/img][br][size=150]Use the graph to help you:[/size][br][br]Find [math]H(0)[/math].
Does [math]H(t)=0[/math] have a solution? Explain how you know.
Describe the domain of the function.[br][br]
Describe the range of the function.
[size=150]Elena solves the equation [math]x^2=7x[/math] by dividing both sides by x to get [math]x=7[/math]. She says the solution is 7.[br][br]Lin solves the equation [math]x^2=7x[/math] by rewriting the equation to get [math]x^2-7x=0[/math]. When she graphs the equation [math]y=x^2-7x[/math], the [math]x[/math]-intercepts are [math](0,0)[/math] and [math](7,0)[/math]. She says the solutions are 0 and 7.[/size][br][br]Do you agree with either of them? Explain or show how you know.
[size=150]A bacteria population, [math]p[/math], can be represented by the equation [math]p=100,000\cdot\left(\frac{1}{4}\right)^d[/math], where [math]d[/math] is the number of days since it was measured.[/size][br][br]What was the population 3 days before it was measured? Explain how you know. 
What is the last day when the population was more than 1,000,000? Explain how you know.[br]
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Information: IM Alg1.7.7 Practice: Rewriting Quadratic Expressions in Factored Form (Part 2)