Chapter 14, Problem 49SGR

To determine

To write: The expression in factored form as mentioned in problem.

Answer to Problem 49SGR

The factored polynomial is $4t\left(25-4t\right)$ .

Explanation of Solution

Given information:

The polynomial equation mentioned in the problem height $h=100t-16t^2$ where $t$ is second and $h$ is height.

Formula:

For factorize the polynomial we will take the term which is common to polynomial.

Consider the statement polynomial equation mentioned in the problem is $h=100t-16t^2$ .

Recall that for factorize the polynomial we will take the term which is common to polynomial.

Therefore the common term is $4t$ .

Therefore the factored form of polynomial $h=100t-16t^2$ is $4t\left(25-4t\right)$ .