Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?

The binomial is for the instant when it lands after jumping.

Step-by-step explanation:

Both and contains the roots of the polynomial, that is, the values of so that . Physically speaking, the monomial represents the time when the mountain lion begins jumping, whereas the binomial is for the instant when it lands after jumping.

Factor:

9x^2 - 64

= (3x)^2 - 8^2

= (3x + 8)(3x - 8)

If you want to solve it, let the equation equal zero

(3x + 8)(3x - 8) = 0

3x + 8 = 0 ; x = -8/3

3x - 8 = 0 ; x = 8/3

Solutions: x = -8/3 and x = 8/3