Chapter 8, Problem 12PFA

To determine

To calculate the factored form of the expression that represents the height of the coin tossed by the referee after t seconds.

Answer to Problem 12PFA

  $-4(4t^2-1)$

Explanation of Solution

Given:

Expression: $-16t^2+h_0$ where $h_0$ is the initial height.

Height of the ground is 4 feet.

Calculation:

Consider the given expression,

  $\Rightarrow -16t^2+h_0$

Substitute the initial height 4 feet to the above expression,

  $\Rightarrow -16t^2+4$

Therefore, taking out the common terms (-4) in the expression,

  $\Rightarrow -4(4t^2-1)$

Conclusion:

Therefore, the factored form is $-4(4t^2-1).$