The height of a toy rocket t seconds after launch is modeled by -16t^2 + 80t + 96. What is its completely factored form?

1. Factor out the GCF first: the leading coefficient -16 is negative, so -16 itself is used as the GCF, giving -16(t squared - 5t - 6). 2. Inside the parentheses, find two numbers that multiply to -6 and add to -5. 3. The pair 1 and -6 multiplies to -6 and adds to -5. 4. Use 1 and -6 as the last terms to get -16(t + 1)(t - 6), and check: -16 times (t squared - 5t - 6) gives back -16t squared + 80t + 96. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.3 Factor Quadratic Trinomials with Leading Coefficient Other than 1_