EDGE Math 8

1.	Suppose the volume of a cylindrical can is given by $V = π h^{3} + 4 π h^{2} + 4 π h,$ where h is its height in centimeters. Which is the completely factored form of the volume?

π h^{2} {(h + 2)}^{2}

π h {(h + 2)}^{2}

h {(π h + 2)}^{2}

none of the choices

Answer: $π h {(h + 2)}^{2}$

2.	Using the same given information from the previous problem, what is the value of the volume of the can when $h = 30$ cm?

960 π

30 720 π

61 440 π

none of the choices

Answer: $30 720 π$

3.	When you need to factor a polynomial, which is the first step that you must do?

Factor out the greatest common factor (other than 1).

Check if the form of the polynomial is that of a special product.

Perform trial-and-error to obtain the binomial factors of the polynomial.

none of the choices

Answer: Factor out the greatest common factor (other than 1).